LMFDB - Embedded newform 252.2.bj.b.103.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.2
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41404 + 0.0221477i) q^{2} +(-0.799650 - 1.53641i) q^{3} +(1.99902 - 0.0626353i) q^{4} +(-2.43207 + 1.40416i) q^{5} +(1.16477 + 2.15484i) q^{6} +(2.50476 + 0.852161i) q^{7} +(-2.82531 + 0.132842i) q^{8} +(-1.72112 + 2.45718i) q^{9} +O(q^{10})$	\(q+(-1.41404 + 0.0221477i) q^{2} +(-0.799650 - 1.53641i) q^{3} +(1.99902 - 0.0626353i) q^{4} +(-2.43207 + 1.40416i) q^{5} +(1.16477 + 2.15484i) q^{6} +(2.50476 + 0.852161i) q^{7} +(-2.82531 + 0.132842i) q^{8} +(-1.72112 + 2.45718i) q^{9} +(3.40794 - 2.03940i) q^{10} +(3.24154 + 1.87151i) q^{11} +(-1.69475 - 3.02123i) q^{12} +(-0.529793 - 0.305876i) q^{13} +(-3.56070 - 1.14952i) q^{14} +(4.10216 + 2.61383i) q^{15} +(3.99215 - 0.250418i) q^{16} +(3.82616 - 2.20903i) q^{17} +(2.37931 - 3.51267i) q^{18} +(-0.594752 + 1.03014i) q^{19} +(-4.77380 + 2.95927i) q^{20} +(-0.693661 - 4.52977i) q^{21} +(-4.62512 - 2.57459i) q^{22} +(6.22464 - 3.59380i) q^{23} +(2.46336 + 4.23460i) q^{24} +(1.44331 - 2.49988i) q^{25} +(0.755923 + 0.420788i) q^{26} +(5.15154 + 0.679462i) q^{27} +(5.06044 + 1.54660i) q^{28} +(4.31175 + 7.46818i) q^{29} +(-5.85852 - 3.60520i) q^{30} +4.01196 q^{31} +(-5.63952 + 0.442519i) q^{32} +(0.283303 - 6.47689i) q^{33} +(-5.36142 + 3.20840i) q^{34} +(-7.28832 + 1.44456i) q^{35} +(-3.28664 + 5.01976i) q^{36} +(-4.72127 + 8.17748i) q^{37} +(0.818188 - 1.46983i) q^{38} +(-0.0463026 + 1.05857i) q^{39} +(6.68481 - 4.29025i) q^{40} +(-3.44593 - 1.98951i) q^{41} +(1.08119 + 6.38992i) q^{42} +(1.57801 - 0.911063i) q^{43} +(6.59713 + 3.53814i) q^{44} +(0.735615 - 8.39276i) q^{45} +(-8.72230 + 5.21964i) q^{46} +2.42258 q^{47} +(-3.57707 - 5.93334i) q^{48} +(5.54764 + 4.26892i) q^{49} +(-1.98553 + 3.56690i) q^{50} +(-6.45358 - 4.11210i) q^{51} +(-1.07823 - 0.578269i) q^{52} +(0.171887 + 0.297717i) q^{53} +(-7.29953 - 0.846692i) q^{54} -10.5115 q^{55} +(-7.18992 - 2.07488i) q^{56} +(2.05831 + 0.0900318i) q^{57} +(-6.26240 - 10.4648i) q^{58} -13.0246 q^{59} +(8.36402 + 4.96815i) q^{60} +2.17427i q^{61} +(-5.67307 + 0.0888554i) q^{62} +(-6.40491 + 4.68798i) q^{63} +(7.96471 - 0.750641i) q^{64} +1.71799 q^{65} +(-0.257154 + 9.16486i) q^{66} -14.7149i q^{67} +(7.51020 - 4.65556i) q^{68} +(-10.4991 - 6.68983i) q^{69} +(10.2740 - 2.20408i) q^{70} +5.36830i q^{71} +(4.53627 - 7.17093i) q^{72} +(-1.51244 + 0.873205i) q^{73} +(6.49495 - 11.6678i) q^{74} +(-4.99499 - 0.218484i) q^{75} +(-1.12440 + 2.09652i) q^{76} +(6.52446 + 7.44999i) q^{77} +(0.0420289 - 1.49789i) q^{78} +9.86194i q^{79} +(-9.35757 + 6.21464i) q^{80} +(-3.07549 - 8.45821i) q^{81} +(4.91674 + 2.73692i) q^{82} +(-2.17733 - 3.77124i) q^{83} +(-1.67037 - 9.01165i) q^{84} +(-6.20366 + 10.7451i) q^{85} +(-2.21119 + 1.32323i) q^{86} +(8.02630 - 12.5966i) q^{87} +(-9.40697 - 4.85696i) q^{88} +(0.865286 + 0.499573i) q^{89} +(-0.854310 + 11.8840i) q^{90} +(-1.06635 - 1.21762i) q^{91} +(12.2181 - 7.57396i) q^{92} +(-3.20816 - 6.16402i) q^{93} +(-3.42563 + 0.0536546i) q^{94} -3.34050i q^{95} +(5.18953 + 8.31076i) q^{96} +(-5.76933 + 3.33092i) q^{97} +(-7.93914 - 5.91355i) q^{98} +(-10.1777 + 4.74398i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.41404	+	0.0221477i	−0.999877	+	0.0156608i
$2$	−1.41404	+	0.0221477i	−0.999877	+	0.0156608i
$3$	−0.799650	−	1.53641i	−0.461678	−	0.887048i
$3$	−0.799650	−	1.53641i	−0.461678	−	0.887048i
$4$	1.99902	−	0.0626353i	0.999509	−	0.0313177i
$5$	−2.43207	+	1.40416i	−1.08765	+	0.627958i	−0.932951	−	0.360003i	$-0.882776\pi$
$5$	−2.43207	+	1.40416i	−1.08765	+	0.627958i	−0.154703	+	0.987961i	$0.549442\pi$
$6$	1.16477	+	2.15484i	0.475513	+	0.879709i
$7$	2.50476	+	0.852161i	0.946710	+	0.322087i
$7$	2.50476	+	0.852161i	0.946710	+	0.322087i
$8$	−2.82531	+	0.132842i	−0.998896	+	0.0469669i
$9$	−1.72112	+	2.45718i	−0.573707	+	0.819061i
$10$	3.40794	−	2.03940i	1.07769	−	0.644914i
$11$	3.24154	+	1.87151i	0.977362	+	0.564280i	0.901473	−	0.432836i	$-0.142487\pi$
$11$	3.24154	+	1.87151i	0.977362	+	0.564280i	0.0758895	+	0.997116i	$0.475820\pi$
$12$	−1.69475	−	3.02123i	−0.489232	−	0.872154i
$13$	−0.529793	−	0.305876i	−0.146938	−	0.0848348i	0.424728	−	0.905321i	$-0.360370\pi$
$13$	−0.529793	−	0.305876i	−0.146938	−	0.0848348i	−0.571667	+	0.820486i	$0.693703\pi$
$14$	−3.56070	−	1.14952i	−0.951638	−	0.307221i
$15$	4.10216	+	2.61383i	1.05917	+	0.674887i
$16$	3.99215	−	0.250418i	0.998038	−	0.0626046i
$17$	3.82616	−	2.20903i	0.927980	−	0.535770i	0.0418081	−	0.999126i	$-0.486688\pi$
$17$	3.82616	−	2.20903i	0.927980	−	0.535770i	0.886172	+	0.463356i	$0.153355\pi$
$18$	2.37931	−	3.51267i	0.560809	−	0.827945i
$19$	−0.594752	+	1.03014i	−0.136445	+	0.236330i	−0.926149	−	0.377159i	$-0.876901\pi$
$19$	−0.594752	+	1.03014i	−0.136445	+	0.236330i	0.789703	+	0.613489i	$0.210235\pi$
$20$	−4.77380	+	2.95927i	−1.06745	+	0.661712i
$21$	−0.693661	−	4.52977i	−0.151369	−	0.988477i
$22$	−4.62512	−	2.57459i	−0.986079	−	0.548905i
$23$	6.22464	−	3.59380i	1.29793	−	0.749359i	0.317882	−	0.948130i	$-0.397028\pi$
$23$	6.22464	−	3.59380i	1.29793	−	0.749359i	0.980046	+	0.198771i	$0.0636951\pi$
$24$	2.46336	+	4.23460i	0.502831	+	0.864385i
$25$	1.44331	−	2.49988i	0.288661	−	0.499976i
$26$	0.755923	+	0.420788i	0.148249	+	0.0825232i
$27$	5.15154	+	0.679462i	0.991414	+	0.130763i
$28$	5.06044	+	1.54660i	0.956333	+	0.292280i
$29$	4.31175	+	7.46818i	0.800673	+	1.38681i	0.919174	+	0.393852i	$0.128858\pi$
$29$	4.31175	+	7.46818i	0.800673	+	1.38681i	−0.118501	+	0.992954i	$0.537809\pi$
$30$	−5.85852	−	3.60520i	−1.06961	−	0.658217i
$31$	4.01196			0.720569			0.360284	−	0.932843i	$-0.382680\pi$
$31$	4.01196			0.720569			0.360284	+	0.932843i	$0.382680\pi$
$32$	−5.63952	+	0.442519i	−0.996936	+	0.0782270i
$33$	0.283303	−	6.47689i	0.0493167	−	1.12748i
$34$	−5.36142	+	3.20840i	−0.919476	+	0.550237i
$35$	−7.28832	+	1.44456i	−1.23195	+	0.244175i
$36$	−3.28664	+	5.01976i	−0.547774	+	0.836626i
$37$	−4.72127	+	8.17748i	−0.776172	+	1.34437i	0.157962	+	0.987445i	$0.449508\pi$
$37$	−4.72127	+	8.17748i	−0.776172	+	1.34437i	−0.934134	+	0.356923i	$0.883826\pi$
$38$	0.818188	−	1.46983i	0.132728	−	0.238438i
$39$	−0.0463026	+	1.05857i	−0.00741436	+	0.169508i
$40$	6.68481	−	4.29025i	1.05696	−	0.678348i
$41$	−3.44593	−	1.98951i	−0.538163	−	0.310709i	0.206171	−	0.978516i	$-0.433900\pi$
$41$	−3.44593	−	1.98951i	−0.538163	−	0.310709i	−0.744334	+	0.667807i	$0.767233\pi$
$42$	1.08119	+	6.38992i	0.166831	+	0.985986i
$43$	1.57801	−	0.911063i	0.240644	−	0.138936i	−0.374829	−	0.927094i	$-0.622299\pi$
$43$	1.57801	−	0.911063i	0.240644	−	0.138936i	0.615473	+	0.788158i	$0.288965\pi$
$44$	6.59713	+	3.53814i	0.994555	+	0.533395i
$45$	0.735615	−	8.39276i	0.109659	−	1.25112i
$46$	−8.72230	+	5.21964i	−1.28603	+	0.769594i
$47$	2.42258			0.353370			0.176685	−	0.984267i	$-0.443463\pi$
$47$	2.42258			0.353370			0.176685	+	0.984267i	$0.443463\pi$
$48$	−3.57707	−	5.93334i	−0.516306	−	0.856404i
$49$	5.54764	+	4.26892i	0.792520	+	0.609845i
$50$	−1.98553	+	3.56690i	−0.280796	+	0.504435i
$51$	−6.45358	−	4.11210i	−0.903681	−	0.575809i
$52$	−1.07823	−	0.578269i	−0.149523	−	0.0801914i
$53$	0.171887	+	0.297717i	0.0236105	+	0.0408946i	0.877589	−	0.479413i	$-0.159151\pi$
$53$	0.171887	+	0.297717i	0.0236105	+	0.0408946i	−0.853979	+	0.520308i	$0.825817\pi$
$54$	−7.29953	−	0.846692i	−0.993340	−	0.115220i
$55$	−10.5115			−1.41738
$56$	−7.18992	−	2.07488i	−0.960793	−	0.277267i
$57$	2.05831	+	0.0900318i	0.272630	+	0.0119250i
$58$	−6.26240	−	10.4648i	−0.822293	−	1.37410i
$59$	−13.0246			−1.69566			−0.847830	−	0.530268i	$-0.822091\pi$
$59$	−13.0246			−1.69566			−0.847830	+	0.530268i	$0.822091\pi$
$60$	8.36402	+	4.96815i	1.07979	+	0.641385i
$61$			2.17427i			0.278387i	0.990265	+	0.139193i	$0.0444510\pi$
$61$			2.17427i			0.278387i	−0.990265	+	0.139193i	$0.955549\pi$
$62$	−5.67307	+	0.0888554i	−0.720480	+	0.0112847i
$63$	−6.40491	+	4.68798i	−0.806942	+	0.590630i
$64$	7.96471	−	0.750641i	0.995588	−	0.0938301i
$65$	1.71799			0.213091
$66$	−0.257154	+	9.16486i	−0.0316535	+	1.12812i
$67$		−	14.7149i		−	1.79771i	−0.438243	−	0.898856i	$-0.644399\pi$
$67$		−	14.7149i		−	1.79771i	0.438243	−	0.898856i	$-0.355601\pi$
$68$	7.51020	−	4.65556i	0.910746	−	0.564569i
$69$	−10.4991	−	6.68983i	−1.26394	−	0.805361i
$70$	10.2740	−	2.20408i	1.22798	−	0.263438i
$71$			5.36830i			0.637100i	0.947906	+	0.318550i	$0.103196\pi$
$71$			5.36830i			0.637100i	−0.947906	+	0.318550i	$0.896804\pi$
$72$	4.53627	−	7.17093i	0.534605	−	0.845102i
$73$	−1.51244	+	0.873205i	−0.177017	+	0.102201i	−0.585890	−	0.810390i	$-0.699255\pi$
$73$	−1.51244	+	0.873205i	−0.177017	+	0.102201i	0.408873	+	0.912591i	$0.365922\pi$
$74$	6.49495	−	11.6678i	0.755023	−	1.35636i
$75$	−4.99499	−	0.218484i	−0.576771	−	0.0252283i
$76$	−1.12440	+	2.09652i	−0.128977	+	0.240488i
$77$	6.52446	+	7.44999i	0.743532	+	0.849005i
$78$	0.0420289	−	1.49789i	0.00475883	−	0.169603i
$79$			9.86194i			1.10955i	0.831999	+	0.554777i	$0.187197\pi$
$79$			9.86194i			1.10955i	−0.831999	+	0.554777i	$0.812803\pi$
$80$	−9.35757	+	6.21464i	−1.04621	+	0.694818i
$81$	−3.07549	−	8.45821i	−0.341721	−	0.939801i
$82$	4.91674	+	2.73692i	0.542963	+	0.302242i
$83$	−2.17733	−	3.77124i	−0.238993	−	0.413947i	0.721433	−	0.692484i	$-0.243484\pi$
$83$	−2.17733	−	3.77124i	−0.238993	−	0.413947i	−0.960425	+	0.278537i	$0.910150\pi$
$84$	−1.67037	−	9.01165i	−0.182252	−	0.983252i
$85$	−6.20366	+	10.7451i	−0.672881	+	1.16546i
$86$	−2.21119	+	1.32323i	−0.238438	+	0.142687i
$87$	8.02630	−	12.5966i	0.860510	−	1.35049i
$88$	−9.40697	−	4.85696i	−1.00279	−	0.517754i
$89$	0.865286	+	0.499573i	0.0917201	+	0.0529546i	0.545159	−	0.838333i	$-0.316469\pi$
$89$	0.865286	+	0.499573i	0.0917201	+	0.0529546i	−0.453438	+	0.891288i	$0.649803\pi$
$90$	−0.854310	+	11.8840i	−0.0900522	+	1.25268i
$91$	−1.06635	−	1.21762i	−0.111784	−	0.127641i
$92$	12.2181	−	7.57396i	1.27382	−	0.789640i
$93$	−3.20816	−	6.16402i	−0.332671	−	0.639179i
$94$	−3.42563	+	0.0536546i	−0.353327	+	0.00553405i
$95$		−	3.34050i		−	0.342728i
$96$	5.18953	+	8.31076i	0.529654	+	0.848214i
$97$	−5.76933	+	3.33092i	−0.585787	+	0.338204i	−0.763430	−	0.645891i	$-0.776486\pi$
$97$	−5.76933	+	3.33092i	−0.585787	+	0.338204i	0.177643	+	0.984095i	$0.443153\pi$
$98$	−7.93914	−	5.91355i	−0.801974	−	0.597359i
$99$	−10.1777	+	4.74398i	−1.02290	+	0.476788i
$100$	2.72862	−	5.08771i	0.272862	−	0.508771i
$101$	6.16610	+	3.56000i	0.613550	+	0.354233i	0.774354	−	0.632753i	$-0.218075\pi$
$101$	6.16610	+	3.56000i	0.613550	+	0.354233i	−0.160803	+	0.986986i	$0.551408\pi$
$102$	9.21669	+	5.67175i	0.912588	+	0.561587i
$103$	5.36564	+	9.29356i	0.528692	+	0.915721i	0.999440	+	0.0334538i	$0.0106507\pi$
$103$	5.36564	+	9.29356i	0.528692	+	0.915721i	−0.470748	+	0.882268i	$0.656016\pi$
$104$	1.53746	+	0.793815i	0.150760	+	0.0778399i
$105$	8.04754	+	10.0427i	0.785359	+	0.980068i
$106$	−0.249649	−	0.417177i	−0.0242480	−	0.0405198i
$107$	12.5172	+	7.22680i	1.21008	+	0.698641i	0.962777	−	0.270296i	$-0.0871217\pi$
$107$	12.5172	+	7.22680i	1.21008	+	0.698641i	0.247305	+	0.968938i	$0.420455\pi$
$108$	10.3406	+	1.03559i	0.995023	+	0.0996497i
$109$	0.384805	+	0.666502i	0.0368577	+	0.0638394i	0.883866	−	0.467741i	$-0.154932\pi$
$109$	0.384805	+	0.666502i	0.0368577	+	0.0638394i	−0.847008	+	0.531580i	$0.821599\pi$
$110$	14.8637	−	0.232806i	1.41720	−	0.0221972i
$111$	16.3393	+	0.714692i	1.55086	+	0.0678355i
$112$	10.2128	+	2.77472i	0.965017	+	0.262186i
$113$	3.50852	−	6.07693i	0.330054	−	0.571670i	−0.652468	−	0.757816i	$-0.726266\pi$
$113$	3.50852	−	6.07693i	0.330054	−	0.571670i	0.982522	+	0.186146i	$0.0595998\pi$
$114$	−2.91253	−	0.0817218i	−0.272784	−	0.00765395i
$115$	−10.0925	+	17.4807i	−0.941131	+	1.63009i
$116$	9.08705	+	14.6590i	0.843712	+	1.36105i
$117$	1.66343	−	0.775349i	0.153784	−	0.0716810i
$118$	18.4173	−	0.288464i	1.69545	−	0.0265553i
$119$	11.4661	−	2.27260i	1.05109	−	0.208329i
$120$	−11.9371	−	6.83992i	−1.08970	−	0.624396i
$121$	1.50507	+	2.60686i	0.136825	+	0.236987i
$122$	−0.0481550	−	3.07450i	−0.00435975	−	0.278353i
$123$	−0.301166	+	6.88527i	−0.0271552	+	0.620824i
$124$	8.01998	−	0.251290i	0.720215	−	0.0225665i
$125$		−	5.93505i		−	0.530847i
$126$	8.95297	−	6.77085i	0.797594	−	0.603195i
$127$		−	17.0935i		−	1.51680i	−0.651789	−	0.758401i	$-0.725981\pi$
$127$		−	17.0935i		−	1.51680i	0.651789	−	0.758401i	$-0.274019\pi$
$128$	−11.2458	+	1.23784i	−0.993997	+	0.109410i
$129$	−2.66162	−	1.69594i	−0.234343	−	0.149319i
$130$	−2.42931	+	0.0380495i	−0.213064	+	0.00333716i
$131$	−7.88249	−	13.6529i	−0.688696	−	1.19286i	−0.972260	−	0.233904i	$-0.924850\pi$
$131$	−7.88249	−	13.6529i	−0.688696	−	1.19286i	0.283563	−	0.958954i	$-0.408483\pi$
$132$	0.160646	−	12.9652i	0.0139824	−	1.12847i
$133$	−2.36756	+	2.07343i	−0.205293	+	0.179789i
$134$	0.325901	+	20.8075i	0.0281535	+	1.79749i
$135$	−13.4830	+	5.58106i	−1.16043	+	0.480341i
$136$	−10.5166	+	6.74948i	−0.901793	+	0.578763i
$137$	1.50631	−	2.60900i	0.128693	−	0.222902i	−0.794478	−	0.607293i	$-0.792255\pi$
$137$	1.50631	−	2.60900i	0.128693	−	0.222902i	0.923170	+	0.384391i	$0.125589\pi$
$138$	14.9943	+	9.22716i	1.27640	+	0.785468i
$139$	1.85082	−	3.20571i	0.156984	−	0.271905i	−0.776796	−	0.629753i	$-0.783156\pi$
$139$	1.85082	−	3.20571i	0.156984	−	0.271905i	0.933780	+	0.357848i	$0.116490\pi$
$140$	−14.4790	+	3.34420i	−1.22370	+	0.282637i
$141$	−1.93722	−	3.72209i	−0.163143	−	0.313456i
$142$	−0.118895	−	7.59099i	−0.00997746	−	0.637022i
$143$	−1.14490	−	1.98302i	−0.0957412	−	0.165829i
$144$	−6.25565	+	10.2405i	−0.521304	+	0.853371i
$145$	−20.9730	−	12.1088i	−1.74171	−	1.00558i
$146$	2.11930	−	1.26824i	0.175395	−	0.104961i
$147$	2.12264	−	11.9371i	0.175073	−	0.984556i
$148$	−8.92570	+	16.6426i	−0.733688	+	1.36802i
$149$	5.65016	+	9.78637i	0.462880	+	0.801731i	0.999103	−	0.0423452i	$-0.0134829\pi$
$149$	5.65016	+	9.78637i	0.462880	+	0.801731i	−0.536224	+	0.844076i	$0.680150\pi$
$150$	7.06795	+	0.198317i	0.577096	+	0.0161925i
$151$	−4.22994	−	2.44216i	−0.344228	−	0.198740i	0.317912	−	0.948120i	$-0.397018\pi$
$151$	−4.22994	−	2.44216i	−0.344228	−	0.198740i	−0.662140	+	0.749380i	$0.730352\pi$
$152$	1.54351	−	2.98947i	0.125195	−	0.242478i
$153$	−1.15728	+	13.2036i	−0.0935605	+	1.06745i
$154$	−9.39085	−	10.3901i	−0.756737	−	0.837257i
$155$	−9.75736	+	5.63341i	−0.783730	+	0.452487i
$156$	−0.0262557	+	2.11901i	−0.00210214	+	0.169657i
$157$		−	11.6574i		−	0.930366i	−0.885215	−	0.465183i	$-0.845989\pi$
$157$		−	11.6574i		−	0.930366i	0.885215	−	0.465183i	$-0.154011\pi$
$158$	−0.218419	−	13.9452i	−0.0173765	−	1.10942i
$159$	0.319966	−	0.502158i	0.0253750	−	0.0398237i
$160$	13.0943	−	8.99500i	1.03520	−	0.711117i
$161$	18.6537	−	3.69721i	1.47012	−	0.291381i
$162$	4.53620	+	11.8921i	0.356397	+	0.934334i
$163$	−8.82016	−	5.09232i	−0.690848	−	0.398861i	0.113081	−	0.993586i	$-0.463928\pi$
$163$	−8.82016	−	5.09232i	−0.690848	−	0.398861i	−0.803930	+	0.594724i	$0.797261\pi$
$164$	−7.01308	−	3.76122i	−0.547630	−	0.293702i
$165$	8.40556	+	16.1501i	0.654372	+	1.25728i
$166$	3.16235	+	5.28446i	0.245446	+	0.410154i
$167$	−7.03763	+	12.1895i	−0.544588	+	0.943254i	0.454045	+	0.890979i	$0.349981\pi$
$167$	−7.03763	+	12.1895i	−0.544588	+	0.943254i	−0.998633	+	0.0522750i	$0.983353\pi$
$168$	2.56155	+	12.7058i	0.197628	+	0.980277i
$169$	−6.31288	−	10.9342i	−0.485606	−	0.841094i
$170$	8.53424	−	15.3313i	0.654547	−	1.17586i
$171$	−1.50760	−	3.23441i	−0.115289	−	0.247342i
$172$	3.09740	−	1.92007i	0.236175	−	0.146404i
$173$		−	15.9908i		−	1.21576i	−0.794030	−	0.607878i	$-0.792021\pi$
$173$		−	15.9908i		−	1.21576i	0.794030	−	0.607878i	$-0.207979\pi$
$174$	−11.0705	+	17.9898i	−0.839254	+	1.36380i
$175$	5.74544	−	5.03167i	0.434314	−	0.380359i
$176$	13.4094	+	6.65960i	1.01077	+	0.501986i
$177$	10.4151	+	20.0112i	0.782849	+	1.50413i
$178$	−1.23461	−	0.687252i	−0.0925381	−	0.0515117i
$179$	1.34673	−	0.777533i	0.100659	−	0.0581156i	−0.448825	−	0.893619i	$-0.648157\pi$
$179$	1.34673	−	0.777533i	0.100659	−	0.0581156i	0.549484	+	0.835504i	$0.314824\pi$
$180$	0.944826	−	16.8234i	0.0704232	−	1.25394i
$181$		−	11.7809i		−	0.875665i	−0.899056	−	0.437833i	$-0.855746\pi$
$181$		−	11.7809i		−	0.875665i	0.899056	−	0.437833i	$-0.144254\pi$
$182$	1.53483	+	1.69814i	0.113769	+	0.125875i
$183$	3.34057	−	1.73865i	0.246942	−	0.128525i
$184$	−17.1091	+	10.9805i	−1.26130	+	0.809492i
$185$		−	26.5176i		−	1.94961i
$186$	4.67299	+	8.64511i	0.342640	+	0.633891i
$187$	16.5369			1.20930
$188$	4.84279	−	0.151739i	0.353197	−	0.0110667i
$189$	12.3244	+	6.09183i	0.896465	+	0.443115i
$190$	0.0739842	+	4.72360i	0.00536738	+	0.342686i
$191$		−	14.4891i		−	1.04840i	−0.851596	−	0.524199i	$-0.824365\pi$
$191$		−	14.4891i		−	1.04840i	0.851596	−	0.524199i	$-0.175635\pi$
$192$	−7.52227	−	11.6368i	−0.542873	−	0.839815i
$193$	−9.21423			−0.663254			−0.331627	−	0.943410i	$-0.607598\pi$
$193$	−9.21423			−0.663254			−0.331627	+	0.943410i	$0.607598\pi$
$194$	8.08429	−	4.83784i	0.580418	−	0.347336i
$195$	−1.37379	−	2.63954i	−0.0983793	−	0.189021i
$196$	11.3572	+	8.18617i	0.811231	+	0.584726i
$197$	−9.54933			−0.680361			−0.340181	−	0.940360i	$-0.610488\pi$
$197$	−9.54933			−0.680361			−0.340181	+	0.940360i	$0.610488\pi$
$198$	14.2866	−	6.93359i	1.01531	−	0.492749i
$199$	8.38058	+	14.5156i	0.594084	+	1.02898i	0.993675	+	0.112290i	$0.0358185\pi$
$199$	8.38058	+	14.5156i	0.594084	+	1.02898i	−0.399592	+	0.916693i	$0.630848\pi$
$200$	−3.74569	+	7.25466i	−0.264860	+	0.512982i
$201$	−22.6082	+	11.7668i	−1.59466	+	0.829965i
$202$	−8.79796	−	4.89742i	−0.619023	−	0.344581i
$203$	4.43582	+	22.3803i	0.311333	+	1.57079i
$204$	−13.1584	−	7.81595i	−0.921271	−	0.547226i
$205$	11.1743			0.780447
$206$	−7.79306	−	13.0226i	−0.542968	−	0.907329i
$207$	−1.88274	+	21.4804i	−0.130859	+	1.49299i
$208$	−2.19161	−	1.08843i	−0.151961	−	0.0754694i
$209$	−3.85583	+	2.22616i	−0.266713	+	0.153987i
$210$	−11.6020	−	14.0226i	−0.800611	−	0.967649i
$211$	7.48353	+	4.32062i	0.515187	+	0.297443i	0.734963	−	0.678107i	$-0.237199\pi$
$211$	7.48353	+	4.32062i	0.515187	+	0.297443i	−0.219776	+	0.975550i	$0.570533\pi$
$212$	0.362253	+	0.584375i	0.0248796	+	0.0401351i
$213$	8.24791	−	4.29276i	0.565138	−	0.294135i
$214$	−17.8599	−	9.94176i	−1.22087	−	0.679605i
$215$	−2.55855	+	4.43153i	−0.174491	+	0.302228i
$216$	−14.6449	−	1.23535i	−0.996461	−	0.0840546i
$217$	10.0490	+	3.41883i	0.682170	+	0.232086i
$218$	−0.558892	−	0.933939i	−0.0378529	−	0.0632543i
$219$	2.55102	+	1.62546i	0.172382	+	0.109839i
$220$	−21.0128	+	0.658394i	−1.41668	+	0.0443889i
$221$	−2.70276			−0.181808
$222$	−23.1203	−	0.648725i	−1.55173	−	0.0435396i
$223$	−9.83962	−	17.0427i	−0.658909	−	1.14126i	−0.980898	−	0.194521i	$-0.937685\pi$
$223$	−9.83962	−	17.0427i	−0.658909	−	1.14126i	0.321989	−	0.946743i	$-0.395649\pi$
$224$	−14.5027	−	3.69738i	−0.969005	−	0.247041i
$225$	3.65856	+	7.84906i	0.243904	+	0.523271i
$226$	−4.82660	+	8.67073i	−0.321060	+	0.576769i
$227$	5.98741	−	10.3705i	0.397398	−	0.688314i	−0.596006	−	0.802980i	$-0.703246\pi$
$227$	5.98741	−	10.3705i	0.397398	−	0.688314i	0.993404	+	0.114666i	$0.0365798\pi$
$228$	4.12025	+	0.0510521i	0.272870	+	0.00338101i
$229$	2.37393	−	1.37059i	0.156874	−	0.0905710i	−0.419508	−	0.907752i	$-0.637797\pi$
$229$	2.37393	−	1.37059i	0.156874	−	0.0905710i	0.576382	+	0.817181i	$0.304464\pi$
$230$	13.8841	−	24.9420i	0.915488	−	1.64463i
$231$	6.22896	−	15.9816i	0.409836	−	1.05152i
$232$	−13.1741	−	20.5271i	−0.864923	−	1.34767i
$233$	−8.10740	+	14.0424i	−0.531133	+	0.919950i	0.468206	+	0.883619i	$0.344900\pi$
$233$	−8.10740	+	14.0424i	−0.531133	+	0.919950i	−0.999340	+	0.0363310i	$0.988433\pi$
$234$	−2.33499	+	1.13322i	−0.152643	+	0.0740806i
$235$	−5.89189	+	3.40169i	−0.384345	+	0.221902i
$236$	−26.0364	+	0.815801i	−1.69483	+	0.0531041i
$237$	15.1520	−	7.88610i	0.984228	−	0.512257i
$238$	−16.1631	+	3.46749i	−1.04770	+	0.224764i
$239$	−3.45217	−	1.99311i	−0.223302	−	0.128924i	0.384176	−	0.923260i	$-0.374486\pi$
$239$	−3.45217	−	1.99311i	−0.223302	−	0.128924i	−0.607478	+	0.794336i	$0.707819\pi$
$240$	17.0310	+	9.40754i	1.09935	+	0.607254i
$241$	9.73779	+	5.62211i	0.627266	+	0.362152i	0.779692	−	0.626163i	$-0.215375\pi$
$241$	9.73779	+	5.62211i	0.627266	+	0.362152i	−0.152426	+	0.988315i	$0.548709\pi$
$242$	−2.18597	−	3.65287i	−0.140519	−	0.234815i
$243$	−10.5360	+	11.4888i	−0.675883	+	0.737009i
$244$	0.136186	+	4.34641i	0.00871842	+	0.278250i
$245$	−19.4865	−	2.59255i	−1.24495	−	0.165632i
$246$	0.273368	−	9.74271i	0.0174293	−	0.621173i
$247$	0.630191	−	0.363841i	0.0400981	−	0.0231506i
$248$	−11.3350	+	0.532958i	−0.719774	+	0.0338429i
$249$	−4.05308	+	6.36094i	−0.256853	+	0.403108i
$250$	0.131447	+	8.39240i	0.00831346	+	0.530782i
$251$	10.3057			0.650492			0.325246	−	0.945629i	$-0.394553\pi$
$251$	10.3057			0.650492			0.325246	+	0.945629i	$0.394553\pi$
$252$	−12.5099	+	9.77254i	−0.788050	+	0.615612i
$253$	26.9033			1.69139
$254$	0.378580	+	24.1709i	0.0237543	+	1.51662i
$255$	21.4696	+	0.939091i	1.34448	+	0.0588082i
$256$	15.8746	−	1.99942i	0.992161	−	0.124964i
$257$	−20.9853	+	12.1158i	−1.30902	+	0.755766i	−0.981933	−	0.189227i	$-0.939402\pi$
$257$	−20.9853	+	12.1158i	−1.30902	+	0.755766i	−0.327091	+	0.944993i	$0.606068\pi$
$258$	3.80120	+	2.33917i	0.236652	+	0.145631i
$259$	−18.7942	+	16.4593i	−1.16781	+	1.02273i
$260$	3.43430	−	0.107607i	0.212986	−	0.00667350i
$261$	−25.7717	−	2.25886i	−1.59523	−	0.139820i
$262$	11.4485	+	19.1311i	0.707293	+	1.18193i
$263$	−6.38149	−	3.68435i	−0.393499	−	0.227187i	0.290176	−	0.956973i	$-0.406286\pi$
$263$	−6.38149	−	3.68435i	−0.393499	−	0.227187i	−0.683675	+	0.729786i	$0.739620\pi$
$264$	0.0599888	+	18.3368i	0.00369205	+	1.12855i
$265$	−0.836082	−	0.482712i	−0.0513601	−	0.0296528i
$266$	3.30190	−	2.98435i	0.202452	−	0.182982i
$267$	0.0756239	−	1.72892i	0.00462811	−	0.105808i
$268$	−0.921673	−	29.4154i	−0.0563002	−	1.79683i
$269$	−26.6977	+	15.4139i	−1.62778	+	0.939802i	−0.643032	+	0.765839i	$0.722324\pi$
$269$	−26.6977	+	15.4139i	−1.62778	+	0.939802i	−0.984752	+	0.173963i	$0.944343\pi$
$270$	18.9418	−	8.19046i	1.15276	−	0.498456i
$271$	9.52600	−	16.4995i	0.578664	−	1.00227i	−0.416969	−	0.908920i	$-0.636908\pi$
$271$	9.52600	−	16.4995i	0.578664	−	1.00227i	0.995633	−	0.0933541i	$-0.0297589\pi$
$272$	14.7214	−	9.77695i	0.892618	−	0.592815i
$273$	−1.01805	+	2.61202i	−0.0616154	+	0.158086i
$274$	−2.07220	+	3.72260i	−0.125186	+	0.224890i
$275$	9.35708	−	5.40232i	0.564253	−	0.325772i
$276$	−21.4069	−	12.7155i	−1.28854	−	0.765382i
$277$	0.125651	−	0.217634i	0.00754964	−	0.0130764i	−0.862226	−	0.506524i	$-0.830930\pi$
$277$	0.125651	−	0.217634i	0.00754964	−	0.0130764i	0.869776	+	0.493448i	$0.164264\pi$
$278$	−2.54613	+	4.57399i	−0.152707	+	0.274330i
$279$	−6.90506	+	9.85811i	−0.413395	+	0.590190i
$280$	20.3998	−	5.04952i	1.21912	−	0.301766i
$281$	−5.87455	−	10.1750i	−0.350447	−	0.606991i	0.635881	−	0.771787i	$-0.280637\pi$
$281$	−5.87455	−	10.1750i	−0.350447	−	0.606991i	−0.986328	+	0.164796i	$0.947304\pi$
$282$	2.82174	+	5.22027i	0.168032	+	0.310863i
$283$	8.70892			0.517692			0.258846	−	0.965919i	$-0.416658\pi$
$283$	8.70892			0.517692			0.258846	+	0.965919i	$0.416658\pi$
$284$	0.336245	+	10.7313i	0.0199525	+	0.636787i
$285$	−5.13238	+	2.67123i	−0.304016	+	0.158230i
$286$	1.66285	+	2.77872i	0.0983265	+	0.164309i
$287$	−6.93584	−	7.91972i	−0.409409	−	0.467486i
$288$	8.61894	−	14.6190i	0.507876	−	0.861430i
$289$	1.25967	−	2.18181i	0.0740983	−	0.128342i
$290$	29.9248	+	16.6578i	1.75724	+	0.978177i
$291$	9.73111	+	6.20049i	0.570448	+	0.363479i
$292$	−2.96869	+	1.84029i	−0.173730	+	0.107695i
$293$	10.0622	+	5.80944i	0.587842	+	0.339391i	0.764244	−	0.644927i	$-0.223112\pi$
$293$	10.0622	+	5.80944i	0.587842	+	0.339391i	−0.176402	+	0.984318i	$0.556446\pi$
$294$	−2.73712	+	16.9266i	−0.159632	+	0.987177i
$295$	31.6767	−	18.2886i	1.84429	−	1.06480i
$296$	12.2527	−	23.7311i	0.712174	−	1.37934i
$297$	15.4273	+	11.8436i	0.895184	+	0.687238i
$298$	−8.20630	−	13.7132i	−0.475378	−	0.794384i
$299$	−4.39703			−0.254287
$300$	−9.99876	−	0.123890i	−0.577278	−	0.00715280i
$301$	4.72890	−	0.937277i	0.272569	−	0.0540237i
$302$	6.03539	+	3.35962i	0.347298	+	0.193325i
$303$	0.538903	−	12.3204i	0.0309591	−	0.707790i
$304$	−2.11638	+	4.26142i	−0.121382	+	0.244409i
$305$	−3.05301	−	5.28797i	−0.174815	−	0.302789i
$306$	1.34401	−	18.6960i	0.0768320	−	1.06878i
$307$	−23.8074			−1.35876			−0.679380	−	0.733787i	$-0.737751\pi$
$307$	−23.8074			−1.35876			−0.679380	+	0.733787i	$0.737751\pi$
$308$	13.5092	+	14.4840i	0.769756	+	0.825303i
$309$	9.98809	−	15.6754i	0.568203	−	0.891743i
$310$	13.6725	−	8.18197i	0.776547	−	0.464705i
$311$	23.9640			1.35887			0.679436	−	0.733734i	$-0.262224\pi$
$311$	23.9640			1.35887			0.679436	+	0.733734i	$0.262224\pi$
$312$	−0.00980447	−	2.99695i	−0.000555069	−	0.169669i
$313$			10.3095i			0.582728i	0.956612	+	0.291364i	$0.0941090\pi$
$313$			10.3095i			0.582728i	−0.956612	+	0.291364i	$0.905891\pi$
$314$	0.258185	+	16.4841i	0.0145702	+	0.930252i
$315$	8.99452	−	20.3950i	0.506784	−	1.14913i
$316$	0.617706	+	19.7142i	0.0347487	+	1.10901i
$317$	−12.7739			−0.717451			−0.358726	−	0.933443i	$-0.616789\pi$
$317$	−12.7739			−0.717451			−0.358726	+	0.933443i	$0.616789\pi$
$318$	−0.441323	+	0.717158i	−0.0247482	+	0.0402163i
$319$			32.2779i			1.80722i
$320$	−18.3167	+	13.0093i	−1.02393	+	0.727242i
$321$	1.09397	−	25.0105i	0.0610596	−	1.39595i
$322$	−26.2952	+	5.64113i	−1.46538	+	0.314368i
$323$			5.25531i			0.292413i
$324$	−6.67775	−	16.7155i	−0.370986	−	0.928638i
$325$	−1.52931	+	0.882946i	−0.0848307	+	0.0489771i
$326$	12.5848	+	7.00540i	0.697010	+	0.387993i
$327$	0.716312	−	1.12419i	0.0396122	−	0.0621677i
$328$	10.0001	+	5.16320i	0.552162	+	0.285090i
$329$	6.06799	+	2.06443i	0.334539	+	0.113816i
$330$	−12.2435	−	22.6507i	−0.673981	−	1.24688i
$331$			18.9845i			1.04348i	0.853104	+	0.521741i	$0.174717\pi$
$331$			18.9845i			1.04348i	−0.853104	+	0.521741i	$0.825283\pi$
$332$	−4.58873	−	7.40240i	−0.251839	−	0.406259i
$333$	−11.9677	−	25.6754i	−0.655825	−	1.40700i
$334$	9.68152	−	17.3923i	0.529749	−	0.951667i
$335$	20.6620	+	35.7877i	1.12889	+	1.95529i
$336$	−3.90354	−	17.9098i	−0.212956	−	0.977062i
$337$	9.58901	−	16.6086i	0.522347	−	0.904731i	−0.477315	−	0.878732i	$-0.658390\pi$
$337$	9.58901	−	16.6086i	0.522347	−	0.904731i	0.999662	−	0.0259987i	$-0.00827657\pi$
$338$	9.16883	+	15.3216i	0.498719	+	0.833386i
$339$	−12.1423	−	0.531109i	−0.659477	−	0.0288459i
$340$	−11.7282	+	21.8681i	−0.636052	+	1.18597i
$341$	13.0049	+	7.50840i	0.704257	+	0.406603i
$342$	2.20345	+	4.54020i	0.119149	+	0.245506i
$343$	10.2577	+	15.4201i	0.553864	+	0.832607i
$344$	−4.33732	+	2.78366i	−0.233853	+	0.150085i
$345$	34.9281	+	1.52777i	1.88046	+	0.0822526i
$346$	0.354158	+	22.6116i	0.0190397	+	1.21561i
$347$		−	27.5615i		−	1.47958i	−0.672839	−	0.739789i	$-0.734926\pi$
$347$		−	27.5615i		−	1.47958i	0.672839	−	0.739789i	$-0.265074\pi$
$348$	15.2557	−	25.6835i	0.817793	−	1.37678i
$349$	15.9615	−	9.21538i	0.854400	−	0.493288i	−0.00773296	−	0.999970i	$-0.502462\pi$
$349$	15.9615	−	9.21538i	0.854400	−	0.493288i	0.862133	+	0.506682i	$0.169128\pi$
$350$	−8.01284	+	7.24223i	−0.428304	+	0.387114i
$351$	−2.52142	−	1.93571i	−0.134583	−	0.103320i
$352$	−19.1089	−	9.11995i	−1.01851	−	0.486095i
$353$	16.3377	+	9.43255i	0.869566	+	0.502044i	0.867204	−	0.497953i	$-0.165915\pi$
$353$	16.3377	+	9.43255i	0.869566	+	0.502044i	0.00236195	+	0.999997i	$0.499248\pi$
$354$	−15.1706	−	28.0659i	−0.806309	−	1.49169i
$355$	−7.53793	−	13.0561i	−0.400072	−	0.692944i
$356$	1.76101	+	0.944458i	0.0933335	+	0.0500562i
$357$	−12.6605	−	15.7993i	−0.670064	−	0.836188i
$358$	−1.88711	+	1.12929i	−0.0997366	+	0.0596848i
$359$	−10.1985	−	5.88809i	−0.538254	−	0.310761i	0.206117	−	0.978527i	$-0.433917\pi$
$359$	−10.1985	−	5.88809i	−0.538254	−	0.310761i	−0.744371	+	0.667766i	$0.767251\pi$
$360$	−0.963424	+	23.8098i	−0.0507769	+	1.25489i
$361$	8.79254	+	15.2291i	0.462765	+	0.801533i
$362$	0.260919	+	16.6586i	0.0137136	+	0.875558i
$363$	2.80168	−	4.39698i	0.147050	−	0.230782i
$364$	−2.20792	−	2.36725i	−0.115726	−	0.124077i
$365$	2.45223	−	4.24739i	0.128356	−	0.222319i
$366$	−4.68520	+	2.53251i	−0.244899	+	0.132377i
$367$	−11.3992	+	19.7440i	−0.595034	+	1.03063i	0.398509	+	0.917165i	$0.369528\pi$
$367$	−11.3992	+	19.7440i	−0.595034	+	1.03063i	−0.993542	+	0.113464i	$0.963805\pi$
$368$	23.9498	−	15.9058i	1.24847	−	0.829145i
$369$	10.8194	−	5.04309i	0.563237	−	0.262533i
$370$	0.587302	+	37.4969i	0.0305324	+	1.94937i
$371$	0.176833	+	0.892185i	0.00918069	+	0.0463199i
$372$	−6.79926	−	12.1210i	−0.352525	−	0.628447i
$373$	−2.49678	−	4.32454i	−0.129278	−	0.223916i	0.794119	−	0.607762i	$-0.207933\pi$
$373$	−2.49678	−	4.32454i	−0.129278	−	0.223916i	−0.923397	+	0.383846i	$0.874599\pi$
$374$	−23.3838	+	0.366253i	−1.20915	+	0.0189385i
$375$	−9.11867	+	4.74596i	−0.470886	+	0.245080i
$376$	−6.84454	+	0.321822i	−0.352980	+	0.0165967i
$377$		−	5.27545i		−	0.271700i
$378$	−17.5620	−	8.34114i	−0.903294	−	0.429022i
$379$		−	32.2808i		−	1.65815i	−0.559135	−	0.829077i	$-0.688867\pi$
$379$		−	32.2808i		−	1.65815i	0.559135	−	0.829077i	$-0.311133\pi$
$380$	−0.209233	−	6.67772i	−0.0107334	−	0.342560i
$381$	−26.2626	+	13.6688i	−1.34547	+	0.700274i
$382$	0.320900	+	20.4882i	0.0164187	+	1.04827i
$383$	8.82152	+	15.2793i	0.450759	+	0.780737i	0.998433	−	0.0559544i	$-0.0178201\pi$
$383$	8.82152	+	15.2793i	0.450759	+	0.780737i	−0.547675	+	0.836691i	$0.684487\pi$
$384$	10.8945	+	16.2883i	0.555959	+	0.831210i
$385$	−26.3289	−	8.95753i	−1.34184	−	0.456518i
$386$	13.0293	−	0.204073i	0.663173	−	0.0103871i
$387$	−0.477292	+	5.44550i	−0.0242621	+	0.276810i
$388$	−11.3244	+	7.01994i	−0.574908	+	0.356384i
$389$	−7.75525	+	13.4325i	−0.393207	+	0.681054i	−0.992871	−	0.119198i	$-0.961968\pi$
$389$	−7.75525	+	13.4325i	−0.393207	+	0.681054i	0.599664	+	0.800252i	$0.295301\pi$
$390$	2.00106	+	3.70199i	0.101327	+	0.187458i
$391$	15.8777	−	27.5009i	0.802968	−	1.39078i
$392$	−16.2409	−	11.3240i	−0.820288	−	0.571950i
$393$	−14.6732	+	23.0283i	−0.740165	+	1.16162i
$394$	13.5031	−	0.211495i	0.680278	−	0.0106550i
$395$	−13.8477	−	23.9849i	−0.696753	−	1.20681i
$396$	−20.0483	+	10.1208i	−1.00747	+	0.508589i
$397$	29.6794	+	17.1354i	1.48957	+	0.860002i	0.999929	−	0.0119229i	$-0.00379527\pi$
$397$	29.6794	+	17.1354i	1.48957	+	0.860002i	0.489639	+	0.871925i	$0.337129\pi$
$398$	−12.1720	−	20.3400i	−0.610125	−	1.01955i
$399$	5.07886	+	1.97952i	0.254261	+	0.0991001i
$400$	5.13589	−	10.3413i	0.256794	−	0.517067i
$401$	−3.42451	−	5.93142i	−0.171012	−	0.296201i	0.767762	−	0.640735i	$-0.221370\pi$
$401$	−3.42451	−	5.93142i	−0.171012	−	0.296201i	−0.938774	+	0.344534i	$0.888037\pi$
$402$	31.7082	−	17.1394i	1.58146	−	0.854836i
$403$	−2.12551	−	1.22716i	−0.105879	−	0.0611293i
$404$	12.5491	+	6.73030i	0.624343	+	0.334845i
$405$	19.3565	+	16.2525i	0.961830	+	0.807592i
$406$	−6.76810	−	31.5484i	−0.335895	−	1.56572i
$407$	−30.6084	+	17.6718i	−1.51720	+	0.875957i
$408$	18.7796	+	10.7606i	0.929728	+	0.532731i
$409$		−	34.2017i		−	1.69116i	−0.533846	−	0.845582i	$-0.679254\pi$
$409$		−	34.2017i		−	1.69116i	0.533846	−	0.845582i	$-0.320746\pi$
$410$	−15.8009	+	0.247485i	−0.780352	+	0.0122224i
$411$	−5.21302	−	0.228020i	−0.257139	−	0.0112474i
$412$	11.3081	+	18.2419i	0.557111	+	0.898715i
$413$	−32.6235	−	11.0991i	−1.60530	−	0.546149i
$414$	2.18652	−	30.4159i	0.107462	−	1.49486i
$415$	10.5908	+	6.11461i	0.519883	+	0.300154i
$416$	3.12313	+	1.49055i	0.153124	+	0.0730803i
$417$	−6.40529	−	0.280171i	−0.313668	−	0.0137200i
$418$	5.40299	−	3.23328i	0.264269	−	0.158145i
$419$	−10.0572	+	17.4195i	−0.491325	+	0.851000i	−0.999950	−	0.00998821i	$-0.996821\pi$
$419$	−10.0572	+	17.4195i	−0.491325	+	0.851000i	0.508625	+	0.860988i	$0.330154\pi$
$420$	16.7162	+	19.5715i	0.815667	+	0.954992i
$421$	3.04994	+	5.28265i	0.148645	+	0.257461i	0.930727	−	0.365715i	$-0.119175\pi$
$421$	3.04994	+	5.28265i	0.148645	+	0.257461i	−0.782082	+	0.623176i	$0.785842\pi$
$422$	−10.6777	−	5.94378i	−0.519782	−	0.289339i
$423$	−4.16956	+	5.95273i	−0.202731	+	0.289432i
$424$	−0.525183	−	0.818307i	−0.0255051	−	0.0397405i
$425$		−	12.7533i		−	0.618624i
$426$	−11.5678	+	6.25281i	−0.560462	+	0.302949i
$427$	−1.85283	+	5.44602i	−0.0896646	+	0.263552i
$428$	25.4747	+	13.6625i	1.23137	+	0.660402i
$429$	−2.13122	+	3.34476i	−0.102896	+	0.161486i
$430$	3.51974	−	6.32303i	0.169737	−	0.304924i
$431$	23.2792	−	13.4402i	1.12132	−	0.647393i	0.179581	−	0.983743i	$-0.442526\pi$
$431$	23.2792	−	13.4402i	1.12132	−	0.647393i	0.941737	+	0.336350i	$0.109193\pi$
$432$	20.7359	+	1.42248i	0.997655	+	0.0684390i
$433$			16.0304i			0.770372i	0.922839	+	0.385186i	$0.125863\pi$
$433$			16.0304i			0.770372i	−0.922839	+	0.385186i	$0.874137\pi$
$434$	−14.2854	−	4.61181i	−0.685721	−	0.221374i
$435$	−1.83299	+	41.9059i	−0.0878850	+	2.00923i
$436$	0.810980	+	1.30825i	0.0388389	+	0.0626537i
$437$			8.54968i			0.408987i
$438$	−3.64325	−	2.24197i	−0.174081	−	0.107126i
$439$	−19.6894			−0.939723			−0.469861	−	0.882740i	$-0.655696\pi$
$439$	−19.6894			−0.939723			−0.469861	+	0.882740i	$0.655696\pi$
$440$	29.6983	−	1.39638i	1.41581	−	0.0665698i
$441$	−20.0377	+	6.28425i	−0.954175	+	0.299250i
$442$	3.82182	−	0.0598599i	0.181785	−	0.00284724i
$443$		−	7.20419i		−	0.342281i	−0.985247	−	0.171141i	$-0.945255\pi$
$443$		−	7.20419i		−	0.342281i	0.985247	−	0.171141i	$-0.0547453\pi$
$444$	32.7074	+	0.405263i	1.55222	+	0.0192329i
$445$	−2.80591			−0.133013
$446$	14.2911	+	23.8812i	0.676702	+	1.13081i
$447$	10.5177	−	16.5066i	0.497472	−	0.780738i
$448$	20.5893	+	4.90704i	0.972755	+	0.231836i
$449$	6.42464			0.303198			0.151599	−	0.988442i	$-0.451558\pi$
$449$	6.42464			0.303198			0.151599	+	0.988442i	$0.451558\pi$
$450$	−5.34719	−	11.0179i	−0.252069	−	0.519387i
$451$	−7.44675	−	12.8981i	−0.350654	−	0.607350i
$452$	6.63297	−	12.3677i	0.311988	−	0.581726i
$453$	−0.369687	+	8.45180i	−0.0173694	+	0.397100i
$454$	−8.23676	+	14.7969i	−0.386570	+	0.694453i
$455$	4.30316	+	1.46401i	0.201735	+	0.0686336i
$456$	−5.82732	+	0.0190640i	−0.272889	+	0.000892755i
$457$	−36.4381			−1.70450			−0.852250	−	0.523134i	$-0.824763\pi$
$457$	−36.4381			−1.70450			−0.852250	+	0.523134i	$0.824763\pi$
$458$	−3.32647	+	1.99064i	−0.155436	+	0.0930166i
$459$	21.2116	−	8.78019i	0.990071	−	0.409824i
$460$	−19.0802	+	35.5765i	−0.889619	+	1.65876i
$461$	−1.90388	+	1.09920i	−0.0886725	+	0.0511951i	−0.543681	−	0.839292i	$-0.682970\pi$
$461$	−1.90388	+	1.09920i	−0.0886725	+	0.0511951i	0.455008	+	0.890487i	$0.349636\pi$
$462$	−8.45405	+	22.7366i	−0.393318	+	1.05780i
$463$	2.98183	+	1.72156i	0.138577	+	0.0800077i	0.567686	−	0.823245i	$-0.307839\pi$
$463$	2.98183	+	1.72156i	0.138577	+	0.0800077i	−0.429108	+	0.903253i	$0.641172\pi$
$464$	19.0834	+	28.7344i	0.885923	+	1.33396i
$465$	16.4577	+	10.4866i	0.763208	+	0.486302i
$466$	11.1532	−	20.0361i	0.516661	−	0.928155i
$467$	−0.234638	+	0.406404i	−0.0108577	+	0.0188061i	−0.871403	−	0.490567i	$-0.836790\pi$
$467$	−0.234638	+	0.406404i	−0.0108577	+	0.0188061i	0.860545	+	0.509374i	$0.170123\pi$
$468$	3.27667	−	1.65413i	0.151464	−	0.0764620i
$469$	12.5395	−	36.8573i	0.579019	−	1.70191i
$470$	8.25603	−	4.94061i	0.380822	−	0.227893i
$471$	−17.9106	+	9.32188i	−0.825279	+	0.429529i
$472$	36.7985	−	1.73022i	1.69379	−	0.0796399i
$473$	6.82024			0.313595
$474$	−21.2509	+	11.4868i	−0.976085	+	0.527608i
$475$	1.71682	+	2.97362i	0.0787731	+	0.136439i
$476$	22.7785	−	5.26114i	1.04405	−	0.241144i
$477$	−1.02738	−	0.0900489i	−0.0470406	−	0.00412306i
$478$	4.92565	+	2.74188i	0.225294	+	0.125411i
$479$	−3.75827	+	6.50952i	−0.171720	+	0.297427i	−0.939021	−	0.343859i	$-0.888266\pi$
$479$	−3.75827	+	6.50952i	−0.171720	+	0.297427i	0.767301	+	0.641287i	$0.221599\pi$
$480$	−24.2909	−	12.9254i	−1.10872	−	0.589963i
$481$	5.00259	−	2.88825i	0.228098	−	0.131693i
$482$	−13.8941	−	7.73423i	−0.632861	−	0.352284i
$483$	−20.5969	−	25.7033i	−0.937191	−	1.16954i
$484$	3.17195	+	5.11689i	0.144179	+	0.232586i
$485$	9.35427	−	16.2021i	0.424756	−	0.735698i
$486$	14.6438	−	16.4790i	0.664258	−	0.747503i
$487$	−11.0384	+	6.37304i	−0.500199	+	0.288790i	−0.728796	−	0.684731i	$-0.759920\pi$
$487$	−11.0384	+	6.37304i	−0.500199	+	0.288790i	0.228597	+	0.973521i	$0.426586\pi$
$488$	−0.288835	−	6.14298i	−0.0130750	−	0.278079i
$489$	−0.770861	+	17.6235i	−0.0348595	+	0.796961i
$490$	27.6121	+	3.23439i	1.24739	+	0.146115i
$491$	−16.7854	−	9.69106i	−0.757515	−	0.437351i	0.0708879	−	0.997484i	$-0.477417\pi$
$491$	−16.7854	−	9.69106i	−0.757515	−	0.437351i	−0.828403	+	0.560133i	$0.810750\pi$
$492$	−0.170775	+	13.7826i	−0.00769911	+	0.621370i
$493$	32.9949	+	19.0496i	1.48602	+	0.857952i
$494$	−0.883057	+	0.528443i	−0.0397306	+	0.0237758i
$495$	18.0916	−	25.8288i	0.813158	−	1.16092i
$496$	16.0164	−	1.00467i	0.719155	−	0.0451109i
$497$	−4.57465	+	13.4463i	−0.205201	+	0.603149i
$498$	5.59033	−	9.08439i	0.250509	−	0.407081i
$499$	18.2465	−	10.5346i	0.816826	−	0.471594i	−0.0324950	−	0.999472i	$-0.510345\pi$
$499$	18.2465	−	10.5346i	0.816826	−	0.471594i	0.849321	+	0.527877i	$0.177012\pi$
$500$	−0.371744	−	11.8643i	−0.0166249	−	0.530586i
$501$	24.3558	+	1.06534i	1.08814	+	0.0475957i
$502$	−14.5727	+	0.228248i	−0.650412	+	0.0101872i
$503$	−29.8779			−1.33219			−0.666095	−	0.745867i	$-0.732035\pi$
$503$	−29.8779			−1.33219			−0.666095	+	0.745867i	$0.732035\pi$
$504$	17.4731	−	14.0958i	0.778312	−	0.627878i
$505$	−19.9952			−0.889774
$506$	−38.0423	+	0.595844i	−1.69119	+	0.0264885i
$507$	−11.7514	+	18.4427i	−0.521897	+	0.819071i
$508$	−1.07066	−	34.1702i	−0.0475027	−	1.51606i
$509$	−29.9207	+	17.2747i	−1.32621	+	0.765688i	−0.984711	−	0.174195i	$-0.944268\pi$
$509$	−29.9207	+	17.2747i	−1.32621	+	0.765688i	−0.341498	+	0.939882i	$0.610934\pi$
$510$	−30.3796	−	0.852412i	−1.34523	−	0.0377455i
$511$	−4.53240	+	0.898330i	−0.200502	+	0.0397398i
$512$	−22.4030	+	3.17884i	−0.990083	+	0.140486i
$513$	−3.76383	+	4.90270i	−0.166177	+	0.216459i
$514$	29.4057	−	17.5971i	1.29703	−	0.776173i
$515$	−26.0992	−	15.0684i	−1.15007	−	0.663992i
$516$	−5.42685	−	3.22350i	−0.238904	−	0.141907i
$517$	7.85291	+	4.53388i	0.345371	+	0.199400i
$518$	26.2112	−	23.6904i	1.15165	−	1.04090i
$519$	−24.5684	+	12.7870i	−1.07843	+	0.561288i
$520$	−4.85385	+	0.228222i	−0.212855	+	0.0100082i
$521$	6.83068	−	3.94369i	0.299257	−	0.172776i	−0.342852	−	0.939389i	$-0.611393\pi$
$521$	6.83068	−	3.94369i	0.299257	−	0.172776i	0.642109	+	0.766613i	$0.278060\pi$
$522$	36.4923	+	2.62334i	1.59722	+	0.114820i
$523$	−8.08449	+	14.0027i	−0.353510	+	0.612297i	−0.986862	−	0.161567i	$-0.948345\pi$
$523$	−8.08449	+	14.0027i	−0.353510	+	0.612297i	0.633352	+	0.773864i	$0.281679\pi$
$524$	−16.6124	−	26.7986i	−0.725716	−	1.17070i
$525$	−12.3251	−	4.80378i	−0.537910	−	0.209654i
$526$	9.10528	+	5.06849i	0.397009	+	0.220997i
$527$	15.3504	−	8.86255i	0.668674	−	0.386059i
$528$	−0.490945	−	25.9277i	−0.0213656	−	1.12836i
$529$	14.3308	−	24.8217i	0.623078	−	1.07920i
$530$	1.19294	+	0.664057i	0.0518182	+	0.0288448i
$531$	22.4169	−	32.0038i	0.972811	−	1.38885i
$532$	−4.60292	+	4.29312i	−0.199562	+	0.186130i
$533$	1.21709	+	2.10805i	0.0527178	+	0.0913099i
$534$	−0.0686437	+	2.44643i	−0.00297050	+	0.105868i
$535$	−40.5902			−1.75487
$536$	1.95476	+	41.5741i	0.0844330	+	1.79573i
$537$	−2.27152	−	1.44737i	−0.0980234	−	0.0624587i
$538$	37.4102	−	22.3872i	1.61287	−	0.965179i
$539$	9.99362	+	24.2203i	0.430456	+	1.04324i
$540$	−26.6031	+	12.0012i	−1.14482	+	0.516448i
$541$	15.1006	−	26.1550i	0.649224	−	1.12449i	−0.334084	−	0.942543i	$-0.608427\pi$
$541$	15.1006	−	26.1550i	0.649224	−	1.12449i	0.983308	−	0.181946i	$-0.0582397\pi$
$542$	−13.1047	+	23.5420i	−0.562896	+	1.01121i
$543$	−18.1003	+	9.42057i	−0.776757	+	0.404275i
$544$	−20.6002	+	14.1510i	−0.883225	+	0.606721i
$545$	−1.87175	−	1.08065i	−0.0801768	−	0.0462901i
$546$	1.38172	−	3.71604i	0.0591320	−	0.159032i
$547$	5.67357	−	3.27564i	0.242584	−	0.140056i	−0.373780	−	0.927518i	$-0.621938\pi$
$547$	5.67357	−	3.27564i	0.242584	−	0.140056i	0.616364	+	0.787461i	$0.288605\pi$
$548$	2.84772	−	5.30979i	0.121649	−	0.226823i
$549$	−5.34258	−	3.74218i	−0.228016	−	0.159712i
$550$	−13.1116	+	7.84633i	−0.559082	+	0.334569i
$551$	−10.2577			−0.436993
$552$	30.5518	+	17.5061i	1.30037	+	0.745109i
$553$	−8.40396	+	24.7018i	−0.357373	+	1.05043i
$554$	−0.172855	+	0.310526i	−0.00734393	+	0.0131930i
$555$	−40.7419	+	21.2048i	−1.72940	+	0.900093i
$556$	3.49903	−	6.52420i	0.148392	−	0.276688i
$557$	0.158409	+	0.274372i	0.00671199	+	0.0116255i	0.869362	−	0.494176i	$-0.164530\pi$
$557$	0.158409	+	0.274372i	0.00671199	+	0.0116255i	−0.862650	+	0.505801i	$0.831197\pi$
$558$	9.54570	−	14.0927i	0.404102	−	0.596591i
$559$	−1.11469			−0.0471463
$560$	−28.7343	+	7.59203i	−1.21425	+	0.320822i
$561$	−13.2237	−	25.4075i	−0.558306	−	1.07270i
$562$	8.53221	+	14.2578i	0.359910	+	0.601429i
$563$	−6.73380			−0.283796			−0.141898	−	0.989881i	$-0.545320\pi$
$563$	−6.73380			−0.283796			−0.141898	+	0.989881i	$0.545320\pi$
$564$	−4.10567	−	7.31918i	−0.172880	−	0.308193i
$565$			19.7060i			0.829039i
$566$	−12.3148	+	0.192882i	−0.517628	+	0.00810744i
$567$	−0.495610	−	23.8066i	−0.0208137	−	0.999783i
$568$	−0.713138	−	15.1671i	−0.0299226	−	0.636397i
$569$	3.35568			0.140677			0.0703387	−	0.997523i	$-0.477592\pi$
$569$	3.35568			0.140677			0.0703387	+	0.997523i	$0.477592\pi$
$570$	7.19823	−	3.89090i	0.301501	−	0.162972i
$571$		−	24.1300i		−	1.00981i	−0.863175	−	0.504904i	$-0.831528\pi$
$571$		−	24.1300i		−	1.00981i	0.863175	−	0.504904i	$-0.168472\pi$
$572$	−2.41288	−	3.89239i	−0.100888	−	0.162749i
$573$	−22.2613	+	11.5862i	−0.929979	+	0.484022i
$574$	9.98295	+	11.0452i	0.416680	+	0.461017i
$575$		−	20.7478i		−	0.865244i
$576$	−11.8638	+	20.8627i	−0.494323	+	0.869278i
$577$	−32.0115	+	18.4819i	−1.33266	+	0.769410i	−0.985706	−	0.168473i	$-0.946116\pi$
$577$	−32.0115	+	18.4819i	−1.33266	+	0.769410i	−0.346951	+	0.937883i	$0.612783\pi$
$578$	−1.73290	+	3.11307i	−0.0720793	+	0.129487i
$579$	7.36816	+	14.1568i	0.306210	+	0.588338i
$580$	−42.6838	−	22.8920i	−1.77235	−	0.950537i
$581$	−2.23997	−	11.3015i	−0.0929298	−	0.468864i
$582$	−13.8975	−	8.55222i	−0.576070	−	0.354501i
$583$			1.28675i			0.0532917i
$584$	4.15709	−	2.66799i	0.172022	−	0.110402i
$585$	−2.95687	+	4.22142i	−0.122251	+	0.174534i
$586$	−14.3571	−	7.99192i	−0.593085	−	0.330143i
$587$	7.18018	+	12.4364i	0.296358	+	0.513307i	0.975300	−	0.220885i	$-0.0708945\pi$
$587$	7.18018	+	12.4364i	0.296358	+	0.513307i	−0.678942	+	0.734192i	$0.737561\pi$
$588$	3.49552	−	23.9954i	0.144153	−	0.989555i
$589$	−2.38612	+	4.13288i	−0.0983184	+	0.170292i
$590$	−44.3871	+	26.5624i	−1.82739	+	1.09355i
$591$	7.63612	+	14.6717i	0.314108	+	0.603513i
$592$	−16.8002	+	33.8280i	−0.690485	+	1.39032i
$593$	29.2573	+	16.8917i	1.20146	+	0.693660i	0.960879	−	0.276970i	$-0.0893302\pi$
$593$	29.2573	+	16.8917i	1.20146	+	0.693660i	0.240577	+	0.970630i	$0.422664\pi$
$594$	−22.0772	−	16.4057i	−0.905836	−	0.673134i
$595$	−24.6952	+	21.6273i	−1.01240	+	0.886631i
$596$	11.9078	+	19.2092i	0.487761	+	0.786841i
$597$	15.6004	−	24.4834i	0.638481	−	1.00204i
$598$	6.21758	−	0.0973839i	0.254256	−	0.00398232i
$599$		−	29.3444i		−	1.19898i	−0.800382	−	0.599490i	$-0.795370\pi$
$599$		−	29.3444i		−	1.19898i	0.800382	−	0.599490i	$-0.204630\pi$
$600$	14.1414	−	0.0462634i	0.577320	−	0.00188869i
$601$	−2.28904	+	1.32158i	−0.0933717	+	0.0539082i	−0.545959	−	0.837812i	$-0.683834\pi$
$601$	−2.28904	+	1.32158i	−0.0933717	+	0.0539082i	0.452587	+	0.891720i	$0.350501\pi$
$602$	−6.66610	+	1.43008i	−0.271690	+	0.0582858i
$603$	36.1572	+	25.3261i	1.47244	+	1.03136i
$604$	−8.60870	−	4.61697i	−0.350283	−	0.187862i
$605$	−7.32088	−	4.22671i	−0.297636	−	0.171840i
$606$	−0.489161	+	17.4335i	−0.0198708	+	0.708188i
$607$	−7.14641	−	12.3779i	−0.290064	−	0.502405i	0.683761	−	0.729706i	$-0.260343\pi$
$607$	−7.14641	−	12.3779i	−0.290064	−	0.502405i	−0.973825	+	0.227301i	$0.927010\pi$
$608$	2.89826	−	6.07269i	0.117540	−	0.246280i
$609$	30.8382	−	24.7116i	1.24963	−	1.00137i
$610$	4.43420	+	7.40979i	0.179535	+	0.300014i
$611$	−1.28347	−	0.741011i	−0.0519236	−	0.0299781i
$612$	−1.48641	+	26.4667i	−0.0600846	+	1.06985i
$613$	−8.49136	−	14.7075i	−0.342963	−	0.594029i	0.642019	−	0.766689i	$-0.278097\pi$
$613$	−8.49136	−	14.7075i	−0.342963	−	0.594029i	−0.984981	+	0.172660i	$0.944764\pi$
$614$	33.6646	−	0.527278i	1.35859	−	0.0212792i
$615$	−8.93553	−	17.1683i	−0.360315	−	0.692294i
$616$	−19.4233	−	20.1818i	−0.782586	−	0.813147i
$617$	6.62896	−	11.4817i	0.266872	−	0.462235i	−0.701181	−	0.712984i	$-0.747343\pi$
$617$	6.62896	−	11.4817i	0.266872	−	0.462235i	0.968052	+	0.250748i	$0.0806767\pi$
$618$	−13.7764	+	22.3869i	−0.554168	+	0.900533i
$619$	20.1710	−	34.9372i	0.810741	−	1.40425i	−0.101605	−	0.994825i	$-0.532398\pi$
$619$	20.1710	−	34.9372i	0.810741	−	1.40425i	0.912346	−	0.409420i	$-0.134269\pi$
$620$	−19.1523	+	11.8725i	−0.769175	+	0.476809i
$621$	34.5083	−	14.2842i	1.38477	−	0.573204i
$622$	−33.8860	+	0.530746i	−1.35871	+	0.0212810i
$623$	1.74162	+	1.98867i	0.0697764	+	0.0796745i
$624$	0.0802392	+	4.23759i	0.00321214	+	0.169639i
$625$	15.5503	+	26.9338i	0.622011	+	1.07735i
$626$	−0.228331	−	14.5781i	−0.00912595	−	0.582656i
$627$	6.50362	+	4.14399i	0.259729	+	0.165495i
$628$	−0.730168	−	23.3035i	−0.0291369	−	0.929909i
$629$			41.7178i			1.66340i
$630$	−12.2669	+	29.0385i	−0.488726	+	1.15692i
$631$			10.1900i			0.405658i	0.979214	+	0.202829i	$0.0650136\pi$
$631$			10.1900i			0.405658i	−0.979214	+	0.202829i	$0.934986\pi$
$632$	−1.31008	−	27.8630i	−0.0521123	−	1.10833i
$633$	0.654042	−	14.9528i	0.0259958	−	0.594319i
$634$	18.0627	−	0.282911i	0.717363	−	0.0112358i
$635$	24.0019	+	41.5725i	0.952487	+	1.64976i
$636$	0.608166	−	1.02387i	0.0241153	−	0.0405989i
$637$	−1.63334	−	3.95854i	−0.0647154	−	0.156843i
$638$	−0.714880	−	45.6423i	−0.0283024	−	1.80699i
$639$	−13.1909	−	9.23948i	−0.521823	−	0.365508i
$640$	25.6124	−	18.8013i	1.01242	−	0.743188i
$641$	6.30398	−	10.9188i	0.248992	−	0.431267i	−0.714254	−	0.699886i	$-0.753234\pi$
$641$	6.30398	−	10.9188i	0.248992	−	0.431267i	0.963246	+	0.268619i	$0.0865673\pi$
$642$	−0.992997	+	35.3900i	−0.0391905	+	1.39673i
$643$	−20.9389	+	36.2672i	−0.825749	+	1.43024i	0.0755963	+	0.997139i	$0.475914\pi$
$643$	−20.9389	+	36.2672i	−0.825749	+	1.43024i	−0.901345	+	0.433101i	$0.857419\pi$
$644$	37.0576	−	8.55917i	1.46027	−	0.337278i
$645$	8.85460	+	0.387305i	0.348650	+	0.0152501i
$646$	−0.116393	−	7.43122i	−0.00457941	−	0.292378i
$647$	4.79985	+	8.31358i	0.188702	+	0.326841i	0.944818	−	0.327597i	$-0.106239\pi$
$647$	4.79985	+	8.31358i	0.188702	+	0.326841i	−0.756116	+	0.654438i	$0.772905\pi$
$648$	9.81282	+	23.4885i	0.385484	+	0.922715i
$649$	−42.2198	−	24.3756i	−1.65727	−	0.956827i
$650$	2.14295	−	1.28239i	0.0840533	−	0.0502996i
$651$	−2.78294	−	18.1733i	−0.109072	−	0.712266i
$652$	−17.9506	−	9.62720i	−0.703001	−	0.377030i
$653$	−2.86038	−	4.95432i	−0.111935	−	0.193878i	0.804615	−	0.593797i	$-0.202372\pi$
$653$	−2.86038	−	4.95432i	−0.111935	−	0.193878i	−0.916551	+	0.399919i	$0.869038\pi$
$654$	−0.987996	+	1.60551i	−0.0386337	+	0.0627805i
$655$	38.3415	+	22.1365i	1.49813	+	0.864944i
$656$	−14.2549	−	7.07949i	−0.556559	−	0.276408i
$657$	0.457459	−	5.21922i	0.0178472	−	0.203621i
$658$	−8.62611	−	2.78480i	−0.336281	−	0.108563i
$659$	29.4052	−	16.9771i	1.14546	−	0.661334i	0.197686	−	0.980265i	$-0.436657\pi$
$659$	29.4052	−	16.9771i	1.14546	−	0.661334i	0.947778	+	0.318932i	$0.103324\pi$
$660$	17.8144	+	31.7578i	0.693426	+	1.23617i
$661$			39.1649i			1.52334i	0.647966	+	0.761669i	$0.275620\pi$
$661$			39.1649i			1.52334i	−0.647966	+	0.761669i	$0.724380\pi$
$662$	−0.420462	−	26.8448i	−0.0163417	−	1.04335i
$663$	2.16127	+	4.15256i	0.0839366	+	0.161272i
$664$	6.65259	+	10.3657i	0.258171	+	0.402266i
$665$	2.84664	−	8.36714i	0.110388	−	0.324464i
$666$	17.4914	+	36.0410i	0.677779	+	1.39656i
$667$	53.6783	+	30.9912i	2.07843	+	1.19998i
$668$	−13.3049	+	24.8079i	−0.514780	+	0.959846i
$669$	−18.3164	+	28.7459i	−0.708152	+	1.11138i
$670$	−30.0095	−	50.1476i	−1.15937	−	1.93737i
$671$	−4.06916	+	7.04799i	−0.157088	+	0.272085i
$672$	5.91642	+	25.2388i	0.228231	+	0.973607i
$673$	−4.87986	−	8.45217i	−0.188105	−	0.325807i	0.756513	−	0.653978i	$-0.226901\pi$
$673$	−4.87986	−	8.45217i	−0.188105	−	0.325807i	−0.944618	+	0.328171i	$0.893568\pi$
$674$	−13.1914	+	23.6977i	−0.508114	+	0.912800i
$675$	9.13382	−	11.8976i	0.351561	−	0.457937i
$676$	−13.3044	−	21.4623i	−0.511709	−	0.825474i
$677$		−	28.1225i		−	1.08084i	−0.841397	−	0.540418i	$-0.818266\pi$
$677$		−	28.1225i		−	1.08084i	0.841397	−	0.540418i	$-0.181734\pi$
$678$	17.1814	+	0.482087i	0.659848	+	0.0185145i
$679$	−17.2893	+	3.42677i	−0.663501	+	0.131507i
$680$	16.0998	−	31.1822i	0.617400	−	1.19578i
$681$	−20.7212	−	0.906357i	−0.794038	−	0.0347317i
$682$	−18.5558	−	10.3292i	−0.710538	−	0.395524i
$683$	12.9477	−	7.47537i	0.495431	−	0.286037i	−0.231394	−	0.972860i	$-0.574329\pi$
$683$	12.9477	−	7.47537i	0.495431	−	0.286037i	0.726825	+	0.686823i	$0.240995\pi$
$684$	−3.21632	−	6.37122i	−0.122979	−	0.243610i
$685$			8.46037i			0.323254i
$686$	−14.8463	−	21.5775i	−0.566835	−	0.823831i
$687$	−4.00410	−	2.55134i	−0.152766	−	0.0973397i
$688$	6.07150	−	4.03226i	0.231474	−	0.153729i
$689$		−	0.210304i		−	0.00801196i
$690$	−49.4235	−	1.38676i	−1.88152	−	0.0527930i
$691$	13.8627			0.527361			0.263680	−	0.964610i	$-0.415064\pi$
$691$	13.8627			0.527361			0.263680	+	0.964610i	$0.415064\pi$
$692$	−1.00159	−	31.9659i	−0.0380747	−	1.21516i
$693$	−29.5354	+	3.20947i	−1.12196	+	0.121918i
$694$	0.610422	+	38.9730i	0.0231713	+	1.47940i
$695$			10.3953i			0.394318i
$696$	−21.0034	+	36.6554i	−0.796132	+	1.38942i
$697$	−17.5796			−0.665873
$698$	−22.3661	+	13.3844i	−0.846570	+	0.506608i
$699$	28.0580	+	1.22727i	1.06125	+	0.0464198i
$700$	11.1701	−	10.4183i	0.422189	−	0.393774i
$701$	−23.4800			−0.886829			−0.443414	−	0.896317i	$-0.646233\pi$
$701$	−23.4800			−0.886829			−0.443414	+	0.896317i	$0.646233\pi$
$702$	3.60826	+	2.68132i	0.136185	+	0.101200i
$703$	−5.61597	−	9.72714i	−0.211810	−	0.366866i
$704$	27.2228	+	12.4728i	1.02600	+	0.470085i
$705$	9.93784	+	6.33221i	0.374281	+	0.238485i
$706$	−23.3110	−	12.9762i	−0.877322	−	0.488364i
$707$	12.4109	+	14.1715i	0.466760	+	0.532973i
$708$	22.0734	+	39.3503i	0.829571	+	1.47888i
$709$	21.8896			0.822083			0.411042	−	0.911617i	$-0.365165\pi$
$709$	21.8896			0.822083			0.411042	+	0.911617i	$0.365165\pi$
$710$	10.9481	+	18.2949i	0.410875	+	0.686594i
$711$	−24.2326	−	16.9736i	−0.908793	−	0.636559i
$712$	−2.51106	−	1.29650i	−0.0941060	−	0.0485884i
$713$	24.9730	−	14.4182i	0.935246	−	0.539965i
$714$	18.2523	+	22.0605i	0.683077	+	0.825592i
$715$	5.56894	+	3.21523i	0.208267	+	0.120243i
$716$	2.64343	−	1.63866i	0.0987897	−	0.0612395i
$717$	−0.301711	+	6.89774i	−0.0112676	+	0.257601i
$718$	14.5514	+	8.10012i	0.543055	+	0.302294i
$719$	−0.739214	+	1.28036i	−0.0275680	+	0.0477492i	−0.879480	−	0.475935i	$-0.842110\pi$
$719$	−0.739214	+	1.28036i	−0.0275680	+	0.0477492i	0.851912	+	0.523685i	$0.175443\pi$
$720$	0.834989	−	33.6894i	0.0311182	−	1.25553i
$721$	5.52002	+	27.8505i	0.205576	+	1.03721i
$722$	−12.7703	−	21.3399i	−0.475261	−	0.794187i
$723$	0.851059	−	19.4570i	0.0316512	−	0.723613i
$724$	−0.737899	−	23.5502i	−0.0274238	−	0.875236i
$725$	24.8927			0.924493
$726$	−3.86430	+	6.27956i	−0.143418	+	0.233056i
$727$	−21.0883	−	36.5260i	−0.782121	−	1.35467i	−0.930704	−	0.365773i	$-0.880805\pi$
$727$	−21.0883	−	36.5260i	−0.782121	−	1.35467i	0.148583	−	0.988900i	$-0.452529\pi$
$728$	3.17451	+	3.29848i	0.117655	+	0.122250i
$729$	26.0767	+	7.00055i	0.965802	+	0.259280i
$730$	−3.37348	+	6.06029i	−0.124858	+	0.224301i
$731$	4.02514	−	6.97174i	0.148875	−	0.257859i
$732$	6.56897	−	3.68484i	0.242796	−	0.136196i
$733$	34.8533	−	20.1226i	1.28734	−	0.743244i	0.309159	−	0.951011i	$-0.399953\pi$
$733$	34.8533	−	20.1226i	1.28734	−	0.743244i	0.978179	+	0.207766i	$0.0666193\pi$
$734$	15.6816	−	28.1713i	0.578820	−	1.03982i
$735$	11.5991	+	32.0124i	0.427841	+	1.18079i
$736$	−33.5137	+	23.0218i	−1.23533	+	0.848596i
$737$	27.5390	−	47.6990i	1.01441	−	1.75702i
$738$	−15.1874	+	7.37076i	−0.559056	+	0.271321i
$739$	24.9157	−	14.3851i	0.916540	−	0.529165i	0.0340104	−	0.999421i	$-0.489172\pi$
$739$	24.9157	−	14.3851i	0.916540	−	0.529165i	0.882530	+	0.470257i	$0.155839\pi$
$740$	−1.66094	−	53.0091i	−0.0610573	−	1.94865i
$741$	−1.06294	−	0.677287i	−0.0390481	−	0.0248808i
$742$	−0.269808	−	1.25767i	−0.00990497	−	0.0461705i
$743$	−17.6335	−	10.1807i	−0.646910	−	0.373494i	0.140361	−	0.990100i	$-0.455174\pi$
$743$	−17.6335	−	10.1807i	−0.646910	−	0.373494i	−0.787272	+	0.616606i	$0.788507\pi$
$744$	9.88288	+	16.9891i	0.362324	+	0.622849i
$745$	−27.4832	−	15.8674i	−1.00691	−	0.581337i
$746$	3.62632	+	6.05978i	0.132769	+	0.221864i
$747$	13.0141	+	1.14067i	0.476160	+	0.0417348i
$748$	33.0576	−	1.03579i	1.20870	−	0.0378724i
$749$	25.1941	+	28.7681i	0.920574	+	1.05116i
$750$	12.7891	−	6.91294i	0.466990	−	0.252425i
$751$	−3.94952	+	2.28026i	−0.144120	+	0.0832077i	−0.570326	−	0.821418i	$-0.693183\pi$
$751$	−3.94952	+	2.28026i	−0.144120	+	0.0832077i	0.426206	+	0.904626i	$0.359850\pi$
$752$	9.67133	−	0.606660i	0.352677	−	0.0221226i
$753$	−8.24098	−	15.8338i	−0.300318	−	0.577017i
$754$	0.116839	+	7.45970i	0.00425502	+	0.271666i
$755$	13.7167			0.499201
$756$	25.0182	+	11.4057i	0.909902	+	0.414823i
$757$	−33.7462			−1.22653			−0.613264	−	0.789878i	$-0.710144\pi$
$757$	−33.7462			−1.22653			−0.613264	+	0.789878i	$0.710144\pi$
$758$	0.714944	+	45.6463i	0.0259679	+	1.65795i
$759$	−21.5132	−	41.3345i	−0.780880	−	1.50035i
$760$	0.443760	+	9.43793i	0.0160969	+	0.342350i
$761$	38.9857	−	22.5084i	1.41323	−	0.815929i	0.417539	−	0.908659i	$-0.362893\pi$
$761$	38.9857	−	22.5084i	1.41323	−	0.815929i	0.995691	+	0.0927296i	$0.0295592\pi$
$762$	36.8337	−	19.9099i	1.33434	−	0.721259i
$763$	0.395877	+	1.99734i	0.0143317	+	0.0723087i
$764$	−0.907532	−	28.9641i	−0.0328334	−	1.04788i
$765$	−15.7253	−	33.7370i	−0.568550	−	1.21977i
$766$	−12.8124	−	21.4102i	−0.462930	−	0.773582i
$767$	6.90035	+	3.98392i	0.249157	+	0.143851i
$768$	−15.7660	−	22.7911i	−0.568908	−	0.822401i
$769$	−16.8566	−	9.73214i	−0.607863	−	0.350950i	0.164265	−	0.986416i	$-0.447475\pi$
$769$	−16.8566	−	9.73214i	−0.607863	−	0.350950i	−0.772129	+	0.635466i	$0.780808\pi$
$770$	37.4285	+	12.0832i	1.34883	+	0.435448i
$771$	35.3958	+	22.5536i	1.27475	+	0.812247i
$772$	−18.4194	+	0.577136i	−0.662929	+	0.0207716i
$773$	−1.15063	+	0.664319i	−0.0413855	+	0.0238939i	−0.520550	−	0.853831i	$-0.674273\pi$
$773$	−1.15063	+	0.664319i	−0.0413855	+	0.0238939i	0.479165	+	0.877725i	$0.340940\pi$
$774$	0.554304	−	7.71072i	0.0199241	−	0.277156i
$775$	5.79049	−	10.0294i	0.208000	−	0.360267i
$776$	15.8576	−	10.1773i	0.569256	−	0.365343i
$777$	40.3171	+	15.7139i	1.44637	+	0.563732i
$778$	10.6687	−	19.1658i	0.382493	−	0.687129i
$779$	4.09894	−	2.36653i	0.146860	−	0.0847896i
$780$	−2.91156	−	5.19045i	−0.104251	−	0.185848i
$781$	−10.0468	+	17.4016i	−0.359503	+	0.622677i
$782$	−21.8426	+	39.2390i	−0.781089	+	1.40319i
$783$	17.1378	+	41.4023i	0.612456	+	1.47960i
$784$	23.2161	+	15.6529i	0.829145	+	0.559034i
$785$	16.3689	+	28.3517i	0.584230	+	1.01192i
$786$	20.2385	−	32.8879i	0.721882	−	1.17307i
$787$	34.4903			1.22945			0.614724	−	0.788743i	$-0.289268\pi$
$787$	34.4903			1.22945			0.614724	+	0.788743i	$0.289268\pi$
$788$	−19.0893	+	0.598125i	−0.680028	+	0.0213073i
$789$	−0.557726	+	12.7508i	−0.0198556	+	0.453940i
$790$	20.1124	+	33.6089i	0.715567	+	1.19575i
$791$	13.9665	−	12.2314i	0.496592	−	0.434900i
$792$	28.1250	−	14.7552i	0.999377	−	0.524304i
$793$	0.665057	−	1.15191i	0.0236169	−	0.0409056i
$794$	−42.3474	−	23.5729i	−1.50285	−	0.836569i
$795$	−0.0730715	+	1.67057i	−0.00259158	+	0.0592489i
$796$	17.6621	+	28.4920i	0.626018	+	1.00987i
$797$	−18.1134	−	10.4578i	−0.641608	−	0.370433i	0.143625	−	0.989632i	$-0.454124\pi$
$797$	−18.1134	−	10.4578i	−0.641608	−	0.370433i	−0.785234	+	0.619199i	$0.787457\pi$
$798$	−7.22555	−	2.68664i	−0.255782	−	0.0951060i
$799$	9.26920	−	5.35157i	0.327921	−	0.189325i
$800$	−7.03331	+	14.7368i	−0.248665	+	0.521025i
$801$	−2.71680	+	1.26634i	−0.0959935	+	0.0447439i
$802$	4.97376	+	8.31142i	0.175629	+	0.293486i
$803$	−6.53683			−0.230680
$804$	−44.4571	+	24.9381i	−1.56788	+	0.879498i
$805$	−40.1757	+	35.1846i	−1.41601	+	1.24009i
$806$	3.03273	+	1.68818i	0.106823	+	0.0594637i
$807$	45.0309	+	28.6929i	1.58516	+	1.01004i
$808$	−17.8940	−	9.23897i	−0.629510	−	0.325026i
$809$	1.33919	+	2.31955i	0.0470835	+	0.0815510i	0.888607	−	0.458670i	$-0.151674\pi$
$809$	1.33919	+	2.31955i	0.0470835	+	0.0815510i	−0.841523	+	0.540221i	$0.818341\pi$
$810$	−27.7308	−	22.5530i	−0.974360	−	0.792430i
$811$	4.16084			0.146107			0.0730534	−	0.997328i	$-0.476726\pi$
$811$	4.16084			0.146107			0.0730534	+	0.997328i	$0.476726\pi$
$812$	10.2691	+	44.4608i	0.360374	+	1.56027i
$813$	−32.9675	−	1.44202i	−1.15622	−	0.0505738i
$814$	42.8901	−	25.6665i	1.50330	−	0.899610i
$815$	28.6017			1.00187
$816$	−26.7934	−	14.8000i	−0.937957	−	0.518105i
$817$			2.16743i			0.0758286i
$818$	0.757487	+	48.3625i	0.0264849	+	1.69096i
$819$	4.82722	−	0.524551i	0.168677	−	0.0183293i
$820$	22.3376	−	0.699906i	0.780064	−	0.0244418i
$821$	11.6582			0.406875			0.203437	−	0.979088i	$-0.434789\pi$
$821$	11.6582			0.406875			0.203437	+	0.979088i	$0.434789\pi$
$822$	7.37647	+	0.206974i	0.257284	+	0.00721905i
$823$			24.4516i			0.852329i	0.904646	+	0.426164i	$0.140136\pi$
$823$			24.4516i			0.852329i	−0.904646	+	0.426164i	$0.859864\pi$
$824$	−16.3941	−	25.5444i	−0.571117	−	0.889880i
$825$	−15.7826	−	10.0564i	−0.549479	−	0.350118i
$826$	46.3768	+	14.9720i	1.61365	+	0.520942i
$827$			1.50378i			0.0522917i	0.999658	+	0.0261458i	$0.00832343\pi$
$827$			1.50378i			0.0522917i	−0.999658	+	0.0261458i	$0.991677\pi$
$828$	−2.41819	+	43.0577i	−0.0840379	+	1.49636i
$829$	−41.9427	+	24.2157i	−1.45673	+	0.841044i	−0.998849	−	0.0479683i	$-0.984725\pi$
$829$	−41.9427	+	24.2157i	−1.45673	+	0.841044i	−0.457883	+	0.889013i	$0.651392\pi$
$830$	−15.1113	−	8.41174i	−0.524519	−	0.291976i
$831$	−0.434852	−	0.0190207i	−0.0150848	−	0.000659820i
$832$	−4.44925	−	2.03853i	−0.154250	−	0.0706733i
$833$	30.6564	+	4.07863i	1.06218	+	0.141316i
$834$	9.06354	+	0.254311i	0.313845	+	0.00880607i
$835$		−	39.5277i		−	1.36791i
$836$	−7.56844	+	4.69166i	−0.261760	+	0.162264i
$837$	20.6677	+	2.72597i	0.714382	+	0.0942234i
$838$	13.8354	−	24.8547i	0.477937	−	0.858590i
$839$	−5.29494	−	9.17110i	−0.182801	−	0.316621i	0.760032	−	0.649886i	$-0.225183\pi$
$839$	−5.29494	−	9.17110i	−0.182801	−	0.316621i	−0.942833	+	0.333264i	$0.891850\pi$
$840$	−24.0709	−	27.3047i	−0.830523	−	0.942101i
$841$	−22.6825	+	39.2872i	−0.782154	+	1.35473i
$842$	−4.42974	−	7.40234i	−0.152659	−	0.255101i
$843$	−10.9354	+	17.1622i	−0.376637	+	0.591097i
$844$	15.2303	+	8.16826i	0.524250	+	0.281163i
$845$	30.7067	+	17.7285i	1.05634	+	0.609880i
$846$	5.76408	−	8.50975i	0.198173	−	0.292571i
$847$	1.54838	+	7.81212i	0.0532029	+	0.268428i
$848$	0.760753	+	1.14549i	0.0261244	+	0.0393362i
$849$	−6.96409	−	13.3805i	−0.239007	−	0.459217i
$850$	0.282455	+	18.0336i	0.00968812	+	0.618548i
$851$			67.8692i			2.32652i
$852$	16.2189	−	9.09792i	0.555649	−	0.311690i
$853$	−32.3692	+	18.6884i	−1.10830	+	0.639877i	−0.938389	−	0.345582i	$-0.887682\pi$
$853$	−32.3692	+	18.6884i	−1.10830	+	0.639877i	−0.169912	+	0.985459i	$0.554348\pi$
$854$	2.49936	−	7.74193i	0.0855262	−	0.264923i
$855$	8.20821	+	5.74940i	0.280715	+	0.196625i
$856$	−36.3249	−	18.7551i	−1.24156	−	0.641036i
$857$	5.95532	+	3.43830i	0.203430	+	0.117450i	0.598254	−	0.801306i	$-0.295861\pi$
$857$	5.95532	+	3.43830i	0.203430	+	0.117450i	−0.394825	+	0.918757i	$0.629195\pi$
$858$	2.93955	−	4.77682i	0.100355	−	0.163078i
$859$	4.32467	+	7.49055i	0.147556	+	0.255574i	0.930324	−	0.366740i	$-0.119526\pi$
$859$	4.32467	+	7.49055i	0.147556	+	0.255574i	−0.782768	+	0.622314i	$0.786193\pi$
$860$	−4.83701	+	9.01898i	−0.164941	+	0.307545i
$861$	−6.62170	+	16.9893i	−0.225667	+	0.578994i
$862$	−32.6200	+	19.5206i	−1.11104	+	0.664874i
$863$	−26.5454	−	15.3260i	−0.903617	−	0.521703i	−0.0252448	−	0.999681i	$-0.508037\pi$
$863$	−26.5454	−	15.3260i	−0.903617	−	0.521703i	−0.878372	+	0.477978i	$0.841370\pi$
$864$	−29.3529	−	1.55219i	−0.998605	−	0.0528066i
$865$	22.4535	+	38.8907i	0.763443	+	1.32232i
$866$	−0.355036	−	22.6676i	−0.0120646	−	0.770277i
$867$	−4.35946	−	0.190685i	−0.148055	−	0.00647601i
$868$	20.3023	+	6.20489i	0.689104	+	0.210608i
$869$	−18.4567	+	31.9679i	−0.626100	+	1.08444i
$870$	1.66380	−	59.2972i	0.0564081	−	2.01036i
$871$	−4.50094	+	7.79586i	−0.152509	+	0.264153i
$872$	−1.17573	−	1.83195i	−0.0398153	−	0.0620378i
$873$	1.74502	−	19.9092i	0.0590600	−	0.673825i
$874$	−0.189355	−	12.0896i	−0.00640504	−	0.408936i
$875$	5.05762	−	14.8659i	0.170979	−	0.502558i
$876$	5.20135	+	3.08955i	0.175737	+	0.104386i
$877$	−21.6550	−	37.5076i	−0.731239	−	1.26654i	−0.956354	−	0.292211i	$-0.905609\pi$
$877$	−21.6550	−	37.5076i	−0.731239	−	1.26654i	0.225115	−	0.974332i	$-0.427724\pi$
$878$	27.8416	−	0.436074i	0.939608	−	0.0147168i
$879$	0.879415	−	20.1053i	0.0296619	−	0.678133i
$880$	−41.9637	+	2.63228i	−1.41460	+	0.0887343i
$881$		−	16.8008i		−	0.566034i	−0.959115	−	0.283017i	$-0.908665\pi$
$881$		−	16.8008i		−	0.566034i	0.959115	−	0.283017i	$-0.0913353\pi$
$882$	28.1949	−	9.32997i	0.949371	−	0.314156i
$883$			12.8684i			0.433055i	0.976277	+	0.216527i	$0.0694731\pi$
$883$			12.8684i			0.433055i	−0.976277	+	0.216527i	$0.930527\pi$
$884$	−5.40288	+	0.169289i	−0.181718	+	0.00569379i
$885$	−53.4291	−	34.0441i	−1.79600	−	1.14438i
$886$	0.159556	+	10.1870i	0.00536038	+	0.342239i
$887$	−24.4526	−	42.3532i	−0.821039	−	1.42208i	−0.904910	−	0.425604i	$-0.860062\pi$
$887$	−24.4526	−	42.3532i	−0.821039	−	1.42208i	0.0838710	−	0.996477i	$-0.473272\pi$
$888$	−46.2585	+	0.151334i	−1.55233	+	0.00507844i
$889$	14.5664	−	42.8151i	0.488541	−	1.43597i
$890$	3.96767	−	0.0621444i	0.132997	−	0.00208308i
$891$	5.86025	−	33.1735i	0.196326	−	1.11135i
$892$	−20.7371	−	33.4524i	−0.694328	−	1.12007i
$893$	−1.44084	+	2.49560i	−0.0482158	+	0.0835122i
$894$	−14.5069	+	23.5740i	−0.485184	+	0.788433i
$895$	−2.18356	+	3.78203i	−0.0729882	+	0.126419i
$896$	−29.2228	−	6.48274i	−0.976266	−	0.216573i
$897$	3.51609	+	6.75565i	0.117399	+	0.225565i
$898$	−9.08470	+	0.142291i	−0.303160	+	0.00474830i
$899$	17.2986	+	29.9620i	0.576940	+	0.999289i
$900$	7.80516	+	15.4613i	0.260172	+	0.515376i
$901$	1.31533	+	0.759408i	0.0438201	+	0.0252996i
$902$	10.8157	+	18.0736i	0.360122	+	0.601784i
$903$	−5.22151	−	6.51604i	−0.173761	−	0.216840i
$904$	−9.10537	+	17.6353i	−0.302840	+	0.586541i
$905$	16.5422	+	28.6519i	0.549881	+	0.952421i
$906$	0.335564	−	11.9594i	0.0111484	−	0.397323i
$907$	−3.37721	−	1.94983i	−0.112138	−	0.0647431i	0.442882	−	0.896580i	$-0.353956\pi$
$907$	−3.37721	−	1.94983i	−0.112138	−	0.0647431i	−0.555020	+	0.831837i	$0.687289\pi$
$908$	11.3194	−	21.1059i	0.375647	−	0.700422i
$909$	−19.3602	+	9.02405i	−0.642137	+	0.299309i
$910$	−6.11726	−	1.97486i	−0.202785	−	0.0654659i
$911$	−19.4469	+	11.2277i	−0.644305	+	0.371990i	−0.786271	−	0.617882i	$-0.787991\pi$
$911$	−19.4469	+	11.2277i	−0.644305	+	0.371990i	0.141966	+	0.989872i	$0.454658\pi$
$912$	8.23965	−	0.156019i	0.272842	−	0.00516630i
$913$		−	16.2995i		−	0.539435i
$914$	51.5249	−	0.807018i	1.70429	−	0.0266938i
$915$	−5.68316	+	8.91921i	−0.187880	+	0.294860i
$916$	4.65968	−	2.88852i	0.153960	−	0.0954395i
$917$	−8.10930	−	40.9143i	−0.267793	−	1.35111i
$918$	−29.7995	+	12.8853i	−0.983531	+	0.425279i
$919$	−27.1929	−	15.6998i	−0.897012	−	0.517890i	−0.0207822	−	0.999784i	$-0.506616\pi$
$919$	−27.1929	−	15.6998i	−0.897012	−	0.517890i	−0.876229	+	0.481894i	$0.839949\pi$
$920$	26.1922	−	50.7291i	0.863533	−	1.67249i
$921$	19.0376	+	36.5780i	0.627310	+	1.20528i
$922$	2.66782	−	1.59649i	0.0878598	−	0.0525775i
$923$	1.64203	−	2.84409i	0.0540482	−	0.0936143i
$924$	11.4508	−	32.3378i	0.376704	−	1.06383i
$925$	13.6285	+	23.6052i	0.448101	+	0.776135i
$926$	−4.25455	−	2.36831i	−0.139813	−	0.0778276i
$927$	−32.0709	−	2.81097i	−1.05335	−	0.0923245i
$928$	−27.6210	−	40.2089i	−0.906705	−	1.31992i
$929$			25.1004i			0.823516i	0.911293	+	0.411758i	$0.135085\pi$
$929$			25.1004i			0.823516i	−0.911293	+	0.411758i	$0.864915\pi$
$930$	−23.5041	−	14.4639i	−0.770730	−	0.474290i
$931$	−7.69706	+	3.17591i	−0.252261	+	0.104086i
$932$	−15.3273	+	28.5789i	−0.502062	+	0.936133i
$933$	−19.1628	−	36.8185i	−0.627362	−	1.20538i
$934$	0.322786	−	0.579869i	0.0105619	−	0.0189739i
$935$	−40.2189	+	23.2204i	−1.31530	+	0.759387i
$936$	−4.59670	+	2.41157i	−0.150248	+	0.0788247i
$937$		−	19.0090i		−	0.620996i	−0.950574	−	0.310498i	$-0.899504\pi$
$937$		−	19.0090i		−	0.620996i	0.950574	−	0.310498i	$-0.100496\pi$
$938$	−16.9150	+	52.3954i	−0.552295	+	1.71077i
$939$	15.8396	−	8.24400i	0.516907	−	0.269033i
$940$	−11.5649	+	7.16908i	−0.377207	+	0.233829i
$941$			37.4081i			1.21947i	0.792606	+	0.609734i	$0.208724\pi$
$941$			37.4081i			1.21947i	−0.792606	+	0.609734i	$0.791276\pi$
$942$	25.1199	−	13.5782i	0.818451	−	0.442401i
$943$	−28.5995			−0.931329
$944$	−51.9962	+	3.26160i	−1.69233	+	0.106156i
$945$	−38.5275	+	2.48956i	−1.25330	+	0.0809853i
$946$	−9.64409	+	0.151052i	−0.313556	+	0.00491113i
$947$		−	27.1934i		−	0.883668i	−0.897097	−	0.441834i	$-0.854328\pi$
$947$		−	27.1934i		−	0.883668i	0.897097	−	0.441834i	$-0.145672\pi$
$948$	29.7952	−	16.7135i	0.967702	−	0.542830i
$949$	1.06837			0.0346808
$950$	−2.49351	−	4.16679i	−0.0809001	−	0.135189i
$951$	10.2146	+	19.6259i	0.331232	+	0.636413i
$952$	−32.0932	+	7.94396i	−1.04015	+	0.257465i
$953$	25.8339			0.836841			0.418420	−	0.908253i	$-0.362584\pi$
$953$	25.8339			0.836841			0.418420	+	0.908253i	$0.362584\pi$
$954$	1.45475	+	0.104579i	0.0470994	+	0.00338586i
$955$	20.3450	+	35.2386i	0.658349	+	1.14029i
$956$	−7.02579	−	3.76804i	−0.227230	−	0.121867i
$957$	49.5921	−	25.8110i	1.60309	−	0.834352i
$958$	5.17018	−	9.28795i	0.167041	−	0.300080i
$959$	5.99623	−	5.25131i	0.193628	−	0.169574i
$960$	34.6346	+	17.7391i	1.11783	+	0.572527i
$961$	−14.9042			−0.480781
$962$	−7.00990	+	4.19489i	−0.226008	+	0.135249i
$963$	−39.3011	+	18.3188i	−1.26646	+	0.590316i
$964$	19.8182	+	10.6288i	0.638300	+	0.342330i
$965$	22.4096	−	12.9382i	0.721392	−	0.416496i
$966$	29.6941	+	35.8894i	0.955392	+	1.15472i
$967$	−38.1504	−	22.0262i	−1.22683	−	0.708313i	−0.260468	−	0.965482i	$-0.583877\pi$
$967$	−38.1504	−	22.0262i	−1.22683	−	0.708313i	−0.966366	+	0.257169i	$0.917210\pi$
$968$	−4.59859	−	7.16524i	−0.147804	−	0.230300i
$969$	8.07432	−	4.20241i	0.259385	−	0.135001i
$970$	−12.8685	+	23.1176i	−0.413182	+	0.742260i
$971$	17.9137	−	31.0274i	0.574877	−	0.995716i	−0.421178	−	0.906978i	$-0.638383\pi$
$971$	17.9137	−	31.0274i	0.574877	−	0.995716i	0.996055	−	0.0887384i	$-0.0282835\pi$
$972$	−20.3420	+	23.6263i	−0.652470	+	0.757814i
$973$	7.36763	−	6.45233i	0.236195	−	0.206852i
$974$	15.4676	−	9.25621i	0.495615	−	0.296588i
$975$	2.57948	+	1.64360i	0.0826095	+	0.0526373i
$976$	0.544477	+	8.68002i	0.0174283	+	0.277841i
$977$	−39.7811			−1.27271			−0.636355	−	0.771396i	$-0.719559\pi$
$977$	−39.7811			−1.27271			−0.636355	+	0.771396i	$0.719559\pi$
$978$	0.699709	−	24.9374i	0.0223742	−	0.797409i
$979$	1.86991	+	3.23877i	0.0597625	+	0.103512i
$980$	−39.1162	−	3.96201i	−1.24952	−	0.126562i
$981$	−2.30001	−	0.201594i	−0.0734338	−	0.00643639i
$982$	23.9499	+	13.3318i	0.764271	+	0.425435i
$983$	−1.44927	+	2.51020i	−0.0462244	+	0.0800630i	−0.888212	−	0.459434i	$-0.848052\pi$
$983$	−1.44927	+	2.51020i	−0.0462244	+	0.0800630i	0.841988	+	0.539497i	$0.181386\pi$
$984$	−0.0637711	−	19.4930i	−0.00203295	−	0.621414i
$985$	23.2246	−	13.4087i	0.739998	−	0.427238i
$986$	−47.0781	−	26.2062i	−1.49927	−	0.834575i
$987$	−1.68045	−	10.9738i	−0.0534894	−	0.349298i
$988$	1.23697	−	0.766797i	0.0393534	−	0.0243951i
$989$	6.54835	−	11.3421i	0.208226	−	0.360657i
$990$	−25.0102	+	36.9236i	−0.794878	+	1.17351i
$991$	35.6534	−	20.5845i	1.13257	−	0.653888i	0.187988	−	0.982171i	$-0.439803\pi$
$991$	35.6534	−	20.5845i	1.13257	−	0.653888i	0.944579	+	0.328283i	$0.106470\pi$
$992$	−22.6255	+	1.77537i	−0.718361	+	0.0563679i
$993$	29.1680	−	15.1809i	0.925618	−	0.481753i
$994$	6.17094	−	19.1149i	0.195730	−	0.606288i
$995$	−40.7643	−	23.5353i	−1.29232	−	0.746119i
$996$	−7.70375	+	12.9695i	−0.244103	+	0.410954i
$997$	22.2201	+	12.8288i	0.703719	+	0.406292i	0.808731	−	0.588179i	$-0.200155\pi$
$997$	22.2201	+	12.8288i	0.703719	+	0.406292i	−0.105012	+	0.994471i	$0.533488\pi$
$998$	−25.5680	+	15.3005i	−0.809340	+	0.484329i
$999$	−29.8781	+	38.9186i	−0.945300	+	1.23133i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.2	yes	84
3.2	odd	2		756.2.bj.b.523.41		84
4.3	odd	2	inner	252.2.bj.b.103.1	yes	84
7.3	odd	6		252.2.n.b.31.28	✓	84
9.2	odd	6		756.2.n.b.19.14		84
9.7	even	3		252.2.n.b.187.29	yes	84
12.11	even	2		756.2.bj.b.523.42		84
21.17	even	6		756.2.n.b.199.15		84
28.3	even	6		252.2.n.b.31.29	yes	84
36.7	odd	6		252.2.n.b.187.28	yes	84
36.11	even	6		756.2.n.b.19.15		84
63.38	even	6		756.2.bj.b.451.41		84
63.52	odd	6	inner	252.2.bj.b.115.2	yes	84
84.59	odd	6		756.2.n.b.199.14		84
252.115	even	6	inner	252.2.bj.b.115.1	yes	84
252.227	odd	6		756.2.bj.b.451.42		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.28	✓	84	7.3	odd	6
252.2.n.b.31.29	yes	84	28.3	even	6
252.2.n.b.187.28	yes	84	36.7	odd	6
252.2.n.b.187.29	yes	84	9.7	even	3
252.2.bj.b.103.1	yes	84	4.3	odd	2	inner
252.2.bj.b.103.2	yes	84	1.1	even	1	trivial
252.2.bj.b.115.1	yes	84	252.115	even	6	inner
252.2.bj.b.115.2	yes	84	63.52	odd	6	inner
756.2.n.b.19.14		84	9.2	odd	6
756.2.n.b.19.15		84	36.11	even	6
756.2.n.b.199.14		84	84.59	odd	6
756.2.n.b.199.15		84	21.17	even	6
756.2.bj.b.451.41		84	63.38	even	6
756.2.bj.b.451.42		84	252.227	odd	6
756.2.bj.b.523.41		84	3.2	odd	2
756.2.bj.b.523.42		84	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41404 + 0.0221477i) q^{2} +(-0.799650 - 1.53641i) q^{3} +(1.99902 - 0.0626353i) q^{4} +(-2.43207 + 1.40416i) q^{5} +(1.16477 + 2.15484i) q^{6} +(2.50476 + 0.852161i) q^{7} +(-2.82531 + 0.132842i) q^{8} +(-1.72112 + 2.45718i) q^{9} +O(q^{10})\)	\(q+(-1.41404 + 0.0221477i) q^{2} +(-0.799650 - 1.53641i) q^{3} +(1.99902 - 0.0626353i) q^{4} +(-2.43207 + 1.40416i) q^{5} +(1.16477 + 2.15484i) q^{6} +(2.50476 + 0.852161i) q^{7} +(-2.82531 + 0.132842i) q^{8} +(-1.72112 + 2.45718i) q^{9} +(3.40794 - 2.03940i) q^{10} +(3.24154 + 1.87151i) q^{11} +(-1.69475 - 3.02123i) q^{12} +(-0.529793 - 0.305876i) q^{13} +(-3.56070 - 1.14952i) q^{14} +(4.10216 + 2.61383i) q^{15} +(3.99215 - 0.250418i) q^{16} +(3.82616 - 2.20903i) q^{17} +(2.37931 - 3.51267i) q^{18} +(-0.594752 + 1.03014i) q^{19} +(-4.77380 + 2.95927i) q^{20} +(-0.693661 - 4.52977i) q^{21} +(-4.62512 - 2.57459i) q^{22} +(6.22464 - 3.59380i) q^{23} +(2.46336 + 4.23460i) q^{24} +(1.44331 - 2.49988i) q^{25} +(0.755923 + 0.420788i) q^{26} +(5.15154 + 0.679462i) q^{27} +(5.06044 + 1.54660i) q^{28} +(4.31175 + 7.46818i) q^{29} +(-5.85852 - 3.60520i) q^{30} +4.01196 q^{31} +(-5.63952 + 0.442519i) q^{32} +(0.283303 - 6.47689i) q^{33} +(-5.36142 + 3.20840i) q^{34} +(-7.28832 + 1.44456i) q^{35} +(-3.28664 + 5.01976i) q^{36} +(-4.72127 + 8.17748i) q^{37} +(0.818188 - 1.46983i) q^{38} +(-0.0463026 + 1.05857i) q^{39} +(6.68481 - 4.29025i) q^{40} +(-3.44593 - 1.98951i) q^{41} +(1.08119 + 6.38992i) q^{42} +(1.57801 - 0.911063i) q^{43} +(6.59713 + 3.53814i) q^{44} +(0.735615 - 8.39276i) q^{45} +(-8.72230 + 5.21964i) q^{46} +2.42258 q^{47} +(-3.57707 - 5.93334i) q^{48} +(5.54764 + 4.26892i) q^{49} +(-1.98553 + 3.56690i) q^{50} +(-6.45358 - 4.11210i) q^{51} +(-1.07823 - 0.578269i) q^{52} +(0.171887 + 0.297717i) q^{53} +(-7.29953 - 0.846692i) q^{54} -10.5115 q^{55} +(-7.18992 - 2.07488i) q^{56} +(2.05831 + 0.0900318i) q^{57} +(-6.26240 - 10.4648i) q^{58} -13.0246 q^{59} +(8.36402 + 4.96815i) q^{60} +2.17427i q^{61} +(-5.67307 + 0.0888554i) q^{62} +(-6.40491 + 4.68798i) q^{63} +(7.96471 - 0.750641i) q^{64} +1.71799 q^{65} +(-0.257154 + 9.16486i) q^{66} -14.7149i q^{67} +(7.51020 - 4.65556i) q^{68} +(-10.4991 - 6.68983i) q^{69} +(10.2740 - 2.20408i) q^{70} +5.36830i q^{71} +(4.53627 - 7.17093i) q^{72} +(-1.51244 + 0.873205i) q^{73} +(6.49495 - 11.6678i) q^{74} +(-4.99499 - 0.218484i) q^{75} +(-1.12440 + 2.09652i) q^{76} +(6.52446 + 7.44999i) q^{77} +(0.0420289 - 1.49789i) q^{78} +9.86194i q^{79} +(-9.35757 + 6.21464i) q^{80} +(-3.07549 - 8.45821i) q^{81} +(4.91674 + 2.73692i) q^{82} +(-2.17733 - 3.77124i) q^{83} +(-1.67037 - 9.01165i) q^{84} +(-6.20366 + 10.7451i) q^{85} +(-2.21119 + 1.32323i) q^{86} +(8.02630 - 12.5966i) q^{87} +(-9.40697 - 4.85696i) q^{88} +(0.865286 + 0.499573i) q^{89} +(-0.854310 + 11.8840i) q^{90} +(-1.06635 - 1.21762i) q^{91} +(12.2181 - 7.57396i) q^{92} +(-3.20816 - 6.16402i) q^{93} +(-3.42563 + 0.0536546i) q^{94} -3.34050i q^{95} +(5.18953 + 8.31076i) q^{96} +(-5.76933 + 3.33092i) q^{97} +(-7.93914 - 5.91355i) q^{98} +(-10.1777 + 4.74398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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